diff --git a/.changeset/spring-precision-floor.md b/.changeset/spring-precision-floor.md
new file mode 100644
index 0000000000..631de0b5c7
--- /dev/null
+++ b/.changeset/spring-precision-floor.md
@@ -0,0 +1,5 @@
+---
+'@react-spring/core': patch
+---
+
+Floor the spring's adaptive precision at the smallest difference doubles can represent around the values being animated. Previously, when a caller's layout math introduced tiny floating-point drift on the target (e.g. `Math.cos(Math.PI / 2)` returning `6e-17` instead of `0`, so a "logical 160" arrived as `159.99999999999997`), the adaptive precision collapsed to a value smaller than any delta the spring could express, so the animation never settled and the awaited `start()` promise never resolved. Closes #2208.
diff --git a/packages/core/src/Controller.test.ts b/packages/core/src/Controller.test.ts
index 3c26237dba..48b7d101f8 100644
--- a/packages/core/src/Controller.test.ts
+++ b/packages/core/src/Controller.test.ts
@@ -720,4 +720,31 @@ describe('Controller', () => {
       expect(onRest).toHaveBeenCalled()
     })
   })
+
+  // Regression test for https://github.com/pmndrs/react-spring/issues/2208
+  it('settles when a target differs from the current value by less than float precision', async () => {
+    // Caller-side trigonometry produces a tiny floating-point drift:
+    // `Math.cos(Math.PI / 2)` returns `6.12e-17` rather than exactly `0`, so
+    // the "logical 160" the caller intended becomes `159.99999999999997`. The
+    // current value is exactly `160`, and the difference is smaller than what
+    // doubles can represent at that magnitude — but not `=== 0`, so the
+    // spring previously entered animation with an unsatisfiable adaptive
+    // precision and never settled.
+    const driftedTarget = 160 * Math.cos(Math.PI + Math.PI / 2) + 160
+    expect(driftedTarget).not.toBe(160)
+    expect(Math.abs(driftedTarget - 160)).toBeLessThan(1e-13)
+
+    const ctrl = new Controller({ x: 160, y: 0, scale: 1 })
+
+    let resolved = false
+    const promise = ctrl.start({ x: driftedTarget, y: 110, scale: 0 })
+    void promise.then(() => (resolved = true))
+
+    await global.advanceUntilIdle()
+    await flushMicroTasks()
+
+    expect(resolved).toBe(true)
+    const result = await promise
+    expect(result.finished).toBe(true)
+  })
 })
diff --git a/packages/core/src/SpringValue.ts b/packages/core/src/SpringValue.ts
index 281f052cd8..2c1b5a3d81 100644
--- a/packages/core/src/SpringValue.ts
+++ b/packages/core/src/SpringValue.ts
@@ -223,9 +223,20 @@ export class SpringValue<T = any> extends FrameValue<T> {
          * TODO: make this value ~0.0001 by default in next breaking change
          * for more info see – https://github.com/pmndrs/react-spring/issues/1389
          */
+        // Floor the adaptive default at the smallest difference doubles can
+        // represent around the values being animated. Without this, callers
+        // whose layout math introduces floating-point drift (e.g.
+        // `Math.cos(Math.PI / 2)` returning `6e-17` instead of `0`) produce a
+        // precision smaller than any delta the spring can express, so the
+        // spring never settles. See #2208.
         const precision =
           config.precision ||
-          (from == to ? 0.005 : Math.min(1, Math.abs(to - from) * 0.001))
+          (from == to
+            ? 0.005
+            : Math.max(
+                Math.max(Math.abs(to), Math.abs(from), 1) * Number.EPSILON,
+                Math.min(1, Math.abs(to - from) * 0.001)
+              ))
 
         // Duration easing
         if (!is.und(config.duration)) {