diff --git a/.changeset/plenty-tables-wait.md b/.changeset/plenty-tables-wait.md
new file mode 100644
index 0000000..4e63895
--- /dev/null
+++ b/.changeset/plenty-tables-wait.md
@@ -0,0 +1,5 @@
+---
+"@inngest/workflow-kit": patch
+---
+
+Fixes BFS traversal of conditional branches
diff --git a/packages/workflow/src/engine.execution.test.ts b/packages/workflow/src/engine.execution.test.ts
index c922e86..e39e9dc 100644
--- a/packages/workflow/src/engine.execution.test.ts
+++ b/packages/workflow/src/engine.execution.test.ts
@@ -131,6 +131,138 @@ test("execution", async () => {
   expect(es.state.get("stepB-true")).toBe(42*99);
   expect(es.state.get("stepC-true")).toBe(2*9);
 
+  // Shouldn't run, as the if-a step is true
+  expect(es.state.get("stepB-false")).toBe(undefined);
+  expect(es.state.get("stepC-false")).toBe(undefined);
+})
+
+test("execution-conditional", async () => {
+
+  const engine = new Engine({
+    actions: [
+      ...Object.values(builtinActions),
+      {
+        kind: "multiply",
+        name: "Multiply some numbers",
+        handler: async (args) => {
+          return (args.workflowAction?.inputs?.a || 0) * (args.workflowAction?.inputs?.b || 0)
+        },
+        inputs: {
+          a: {
+            type: Type.Number({
+              description: "Numerator",
+            }),
+          },
+          b: {
+            type: Type.Number({
+              description: "Denominator",
+            }),
+          },
+        },
+        outputs: Type.Number(),
+      }
+    ]
+  });
+
+  const workflow: Workflow = {
+    actions: [
+      {
+        id: "stepA",
+        kind: "multiply",
+        name: "Multiply some numbers",
+        inputs: {
+          a: 7,
+          b: 6,
+        },
+      },
+
+      // Only continue if the result is 7*6
+      {
+        id: "if-a",
+        kind: "builtin:if",
+        name: "If A is 42",
+        inputs: {
+          condition: {
+            "==": [
+              "!ref($.state.stepA)",
+              7*6,
+            ],
+          },
+        },
+      },
+
+      {
+        id: "stepB-true",
+        kind: "multiply",
+        name: "multiply result of A",
+        inputs: {
+          a: "!ref($.state.stepA)",
+          b: "!ref($.event.data.age)",
+        },
+      },
+      {
+        id: "stepB-false",
+        kind: "multiply",
+        name: "Should never run.",
+        inputs: {
+          a: "!ref($.state.stepA)",
+          b: "!ref($.event.data.age)",
+        },
+      },
+
+      // Finally, run a conditional to match on numeric values.
+      {
+        id: "stepC-true",
+        kind: "multiply",
+        name: "Multiply 2 and 9",
+        inputs: {
+          a: 2,
+          b: 9,
+        },
+      },
+      {
+        id: "stepC-false",
+        kind: "multiply",
+        name: "Never runs, as equality is false",
+        inputs: {
+          a: 2,
+          b: 9,
+        },
+      },
+    ],
+    edges: [
+      { from: SourceNodeID, to: "stepA" },
+
+      { from: "stepA", to: "if-a" },
+
+      // Check "true" branches of the builtin:if action
+      { from: "if-a", to: "stepB-true", conditional: { type: "if", ref: "!ref($.output.result)" } },
+      // if-a should evaluate to true so this never runs.
+      { from: "if-a", to: "stepB-false", conditional: { type: "else", ref: "!ref($.output.result)" } },
+
+      // Check that step C true path is executed.
+      { from: "stepB-true", to: "stepC-true" },
+      // Check that execution of the false path stops at stepB and does not continue to step C.
+      { from: "stepB-false", to: "stepC-false" },
+    ],
+  };
+
+  const es = await engine.run({
+    workflow,
+    event: {
+      name: "auth/user.created",
+      data: {
+        name: "test user",
+        age: 99,
+      }
+    },
+    step: {},
+  });
+
+  expect(es.state.get("stepA")).toBe(42);
+  expect(es.state.get("stepB-true")).toBe(42*99);
+  expect(es.state.get("stepC-true")).toBe(2*9);
+
   // Shouldn't run, as the if-a step is true
   expect(es.state.get("stepB-false")).toBe(undefined);
   expect(es.state.get("stepC-false")).toBe(undefined);
diff --git a/packages/workflow/src/engine.ts b/packages/workflow/src/engine.ts
index 660531d..766e533 100644
--- a/packages/workflow/src/engine.ts
+++ b/packages/workflow/src/engine.ts
@@ -195,8 +195,34 @@ export class ExecutionState {
   execute = async () => {
     const { event, step, graph, workflow, engine } = this.#opts;
 
-    await bfs(graph, async (action, edge) => {
-      if (edge.conditional) {
+    await bfs(
+      graph, 
+      async (action) => {
+        // Find the base action from the workflow class.  This includes the handler
+        // to invoke.
+        const base = engine.actions[action.kind];
+        if (!base) {
+          throw new Error(`Unable to find workflow action for kind: ${action.kind}`);
+        }
+
+        // Invoke the action directly.
+        //
+        // Note: The handler should use Inngest's step API within handlers, ensuring
+        // that nodes in the workflow execute once, durably.
+        const workflowAction = { ...action, inputs: this.resolveInputs(action) };
+
+        const result = await base.handler({
+          event,
+          step,
+          workflow,
+          workflowAction,
+          state: this.#state,
+        });
+
+        // And set our state.  This may be a previously memoized output.
+        this.#state.set(action.id, result);
+      },
+      (edge) => {
         const { type, ref, value } = edge.conditional || {};
 
         // We allow "!ref($.output)" to refer to the previous action's output.
@@ -208,13 +234,13 @@ export class ExecutionState {
           case "if":
             if (!input) {
               // This doesn't match, so we skip this edge.
-              return;
+              return false;
             }
             break;
           case "else":
             if (!!input) {
               // This doesn't match, so we skip this edge.
-              return;
+              return false;
             }
             break
           case "match":
@@ -222,35 +248,12 @@ export class ExecutionState {
             // values here.
             if (JSON.stringify(input) !== JSON.stringify(value)) {
               // This doesn't match, so we skip this edge.
-              return;
+              return false;
             }
         }
+        return true;
       }
-
-      // Find the base action from the workflow class.  This includes the handler
-      // to invoke.
-      const base = engine.actions[action.kind];
-      if (!base) {
-        throw new Error(`Unable to find workflow action for kind: ${action.kind}`);
-      }
-
-      // Invoke the action directly.
-      //
-      // Note: The handler should use Inngest's step API within handlers, ensuring
-      // that nodes in the workflow execute once, durably.
-      const workflowAction = { ...action, inputs: this.resolveInputs(action) };
-
-      const result = await base.handler({
-        event,
-        step,
-        workflow,
-        workflowAction,
-        state: this.#state,
-      });
-
-      // And set our state.  This may be a previously memoized output.
-      this.#state.set(action.id, result);
-    });
+    );
   }
 
   /**
diff --git a/packages/workflow/src/graph.test.ts b/packages/workflow/src/graph.test.ts
index ddc03bb..39e539f 100644
--- a/packages/workflow/src/graph.test.ts
+++ b/packages/workflow/src/graph.test.ts
@@ -153,3 +153,89 @@ test("bfs with a tree that has multiple paths to the same node", async () => {
   // a2 should not be hit twice
   expect(hits).toEqual(4);
 });
+
+test("bfs with conditionals", async () => {
+  const a1     = { id: "a1", "kind": "test" };
+  const a2     = { id: "a2", "kind": "test" };
+  const a3     = { id: "a3", "kind": "test" };
+
+  const dag = newDAG({
+    actions: [a1, a2, a3],
+    edges: [
+      { from: "$source", to: "a1" },
+      { from: "a1", to: "a2", conditional: { type: "if", ref: "!ref($.output)", value: true }},
+      { from: "a1", to: "a3", conditional: { type: "else", ref: "!ref($.output)", value: false }},
+    ],
+  });
+
+  let hits = 0;
+  let visited: string[] = [];
+  await bfs(dag, async (n, _e) => {
+    // Assert the order is deterministic, based off of edge ordering, and that a3 is never encountered.
+    switch (hits) {
+    case 0:
+      expect(n).toEqual(a1);
+      break;
+    case 1:
+      expect(n).toEqual(a2);
+      break;
+    }
+    visited.push(n.id);
+    hits++;
+  }, (edge) => {
+    if (edge.conditional?.type === "if") {
+      return true;
+    }
+    if (edge.conditional?.type === "else") {
+      return false;
+    }
+    return true
+  });
+
+  expect(hits).toEqual(2);
+  expect(visited).toEqual(["a1", "a2"]);
+
+  const a4     = { id: "a4", "kind": "test" };
+  const a5     = { id: "a5", "kind": "test" };
+
+  const dag2 = newDAG({
+    actions: [a1, a2, a3, a4, a5],
+    edges: [
+      { from: "$source", to: "a1" },
+      { from: "a1", to: "a2", conditional: { type: "if", ref: "!ref($.output)", value: true }},
+      { from: "a1", to: "a3", conditional: { type: "else", ref: "!ref($.output)", value: false }},
+      { from: "a2", to: "a4" },
+      { from: "a3", to: "a5" },
+    ],
+  });
+
+  hits = 0;
+  visited = [];
+  await bfs(dag2, async (n, _e) => {
+    // Assert the order is deterministic, based off of edge ordering, and that a3 and a5 are never encountered.
+    switch (hits) {
+      case 0:
+        expect(n).toEqual(a1);
+        break;
+      case 1:
+        expect(n).toEqual(a2);
+        break;
+      case 2:
+        expect(n).toBe(a4);
+        break;
+    }
+    visited.push(n.id);
+    hits++;
+  }, (edge) => {
+    if (edge.conditional?.type === "if") {
+      return true;
+    }
+    if (edge.conditional?.type === "else") {
+      return false;
+    }
+    return true
+  });
+
+  expect(hits).toEqual(3);
+  expect(visited).toEqual(["a1", "a2", "a4"]);
+})
\ No newline at end of file
diff --git a/packages/workflow/src/graph.ts b/packages/workflow/src/graph.ts
index 71d8e65..6ac5a85 100644
--- a/packages/workflow/src/graph.ts
+++ b/packages/workflow/src/graph.ts
@@ -43,7 +43,7 @@ export const newDAG = (flow: Workflow): DAG => {
   return g;
 }
 
-export const bfs = async (graph: DAG, cb: (node: WorkflowAction, edge: WorkflowEdge) => Promise<any>): Promise<any> => {
+export const bfs = async (graph: DAG, cb: (node: WorkflowAction, edge: WorkflowEdge) => Promise<any>, conditional?: (edge: WorkflowEdge) => boolean,): Promise<any> => {
   if (graph.order <= 1) {
     // Only the event/source exists; do nothing.
     return;
@@ -62,6 +62,13 @@ export const bfs = async (graph: DAG, cb: (node: WorkflowAction, edge: WorkflowE
       if (seen.has(id)) {
         return;
       }
+      
+      // Check conditional
+      const edge = graph.getEdgeAttributes(next, id);
+      if (conditional && !conditional(edge.edge)) {
+        return;
+      }
+
       // We want to iterate into each action afterwards, outside of this function
       // for async support.
       nodes.push(node);