diff --git a/mypy/build.py b/mypy/build.py
index 59d46cdf9bb8..3c5f3fc72ac4 100644
--- a/mypy/build.py
+++ b/mypy/build.py
@@ -2443,6 +2443,7 @@ def find_module_and_diagnose(manager: BuildManager,
         # search path or the module has not been installed.
 
         ignore_missing_imports = options.ignore_missing_imports
+
         top_level, second_level = get_top_two_prefixes(file_id)
         # Don't honor a global (not per-module) ignore_missing_imports
         # setting for modules that used to have bundled stubs, as
@@ -2459,7 +2460,12 @@ def find_module_and_diagnose(manager: BuildManager,
         if skip_diagnose:
             raise ModuleNotFound
         if caller_state:
-            if not (ignore_missing_imports or in_partial_package(id, manager)):
+            should_ignore = (
+                ignore_missing_imports
+                or in_partial_package(id, manager)
+                or (options.ignore_missing_type_hints
+                    and result is ModuleNotFoundReason.FOUND_WITHOUT_TYPE_HINTS))
+            if not should_ignore:
                 module_not_found(manager, caller_line, caller_state, id, result)
             raise ModuleNotFound
         elif root_source:
diff --git a/mypy/main.py b/mypy/main.py
index 693c7e8c6d13..dee44c452b79 100644
--- a/mypy/main.py
+++ b/mypy/main.py
@@ -476,6 +476,9 @@ def add_invertible_flag(flag: str,
     imports_group.add_argument(
         '--ignore-missing-imports', action='store_true',
         help="Silently ignore imports of missing modules")
+    imports_group.add_argument(
+        '--ignore-missing-type-hints', action='store_true',
+        help="Silently ignore modules missing type hints")
     imports_group.add_argument(
         '--follow-imports', choices=['normal', 'silent', 'skip', 'error'],
         default='normal', help="How to treat imports (default normal)")
diff --git a/mypy/options.py b/mypy/options.py
index 3eb4809344cf..69df0af879a7 100644
--- a/mypy/options.py
+++ b/mypy/options.py
@@ -41,6 +41,7 @@ class BuildType:
     "follow_imports_for_stubs",
     "ignore_errors",
     "ignore_missing_imports",
+    "ignore_missing_type_hints",
     "implicit_reexport",
     "local_partial_types",
     "mypyc",
@@ -84,6 +85,7 @@ def __init__(self) -> None:
         self.ignore_missing_imports = False
         # Is ignore_missing_imports set in a per-module section
         self.ignore_missing_imports_per_module = False
+        self.ignore_missing_type_hints = False
         self.follow_imports = 'normal'  # normal|silent|skip|error
         # Whether to respect the follow_imports setting even for stub files.
         # Intended to be used for disabling specific stubs.