diff --git a/ddtrace/internal/wrapping/context.py b/ddtrace/internal/wrapping/context.py
index e9308a78dfc..1153f9dcf6a 100644
--- a/ddtrace/internal/wrapping/context.py
+++ b/ddtrace/internal/wrapping/context.py
@@ -1,6 +1,7 @@
 from abc import ABC
 from contextvars import ContextVar
 from inspect import iscoroutinefunction
+from inspect import isgeneratorfunction
 import sys
 from types import FrameType
 from types import FunctionType
@@ -671,9 +672,9 @@ def wrap(self) -> None:
                     pass
                 i += 1
 
-            # Search for the GEN_START instruction
+            # Search for the GEN_START instruction, which needs to stay on top.
             i = 0
-            if sys.version_info >= (3, 10) and iscoroutinefunction(f):
+            if sys.version_info >= (3, 10) and (iscoroutinefunction(f) or isgeneratorfunction(f)):
                 for i, instr in enumerate(bc, 1):
                     try:
                         if instr.name == "GEN_START":
diff --git a/releasenotes/notes/fix-generator-wrapping-86af0ae55ba2723a.yaml b/releasenotes/notes/fix-generator-wrapping-86af0ae55ba2723a.yaml
new file mode 100644
index 00000000000..690e7211b8a
--- /dev/null
+++ b/releasenotes/notes/fix-generator-wrapping-86af0ae55ba2723a.yaml
@@ -0,0 +1,5 @@
+---
+fixes:
+  - |
+    dynamic instrumentation: fixed an issue with the instrumentation of
+    generators with Python 3.10.