diff --git a/compiler/rustc_mir/src/interpret/intrinsics.rs b/compiler/rustc_mir/src/interpret/intrinsics.rs
index 0664f25e409dc..d3b6d706337ed 100644
--- a/compiler/rustc_mir/src/interpret/intrinsics.rs
+++ b/compiler/rustc_mir/src/interpret/intrinsics.rs
@@ -435,6 +435,12 @@ impl<'mir, 'tcx: 'mir, M: Machine<'mir, 'tcx>> InterpCx<'mir, 'tcx, M> {
                 // These just return their argument
                 self.copy_op(args[0], dest)?;
             }
+            sym::assume => {
+                let cond = self.read_scalar(args[0])?.check_init()?.to_bool()?;
+                if !cond {
+                    throw_ub_format!("`assume` intrinsic called with `false`");
+                }
+            }
             _ => return Ok(false),
         }
 
diff --git a/library/core/src/intrinsics.rs b/library/core/src/intrinsics.rs
index de4d2efe29461..c68200c90d8d0 100644
--- a/library/core/src/intrinsics.rs
+++ b/library/core/src/intrinsics.rs
@@ -733,6 +733,7 @@ extern "rust-intrinsic" {
     /// own, or if it does not enable any significant optimizations.
     ///
     /// This intrinsic does not have a stable counterpart.
+    #[rustc_const_unstable(feature = "const_assume", issue = "76972")]
     pub fn assume(b: bool);
 
     /// Hints to the compiler that branch condition is likely to be true.
diff --git a/src/test/ui/consts/const-eval/const_assume.rs b/src/test/ui/consts/const-eval/const_assume.rs
new file mode 100644
index 0000000000000..f72f151824bed
--- /dev/null
+++ b/src/test/ui/consts/const-eval/const_assume.rs
@@ -0,0 +1,17 @@
+// check-pass
+
+// Check that `const_assume` feature allow `assume` intrinsic
+// to be used in const contexts.
+
+#![feature(core_intrinsics, const_assume)]
+
+extern crate core;
+
+use core::intrinsics::assume;
+
+pub const unsafe fn foo(x: usize, y: usize) -> usize {
+    assume(y != 0);
+    x / y
+}
+
+fn main() {}