diff --git a/__tests__/src/rules/label-has-associated-control-test.js b/__tests__/src/rules/label-has-associated-control-test.js
index d0b4c3b3..0bd14107 100644
--- a/__tests__/src/rules/label-has-associated-control-test.js
+++ b/__tests__/src/rules/label-has-associated-control-test.js
@@ -49,6 +49,8 @@ const htmlForValid = [
   // Glob support for controlComponents option.
   { code: '<CustomLabel htmlFor="js_id" aria-label="A label" />', options: [{ controlComponents: ['Custom*'] }] },
   { code: '<CustomLabel htmlFor="js_id" aria-label="A label" />', options: [{ controlComponents: ['*Label'] }] },
+  // Rule does not error if presence of accessible label cannot be determined
+  { code: '<div><label htmlFor="js_id"><CustomText /></label><input id="js_id" /></div>' },
 ];
 const nestingValid = [
   { code: '<label>A label<input /></label>' },
@@ -74,6 +76,8 @@ const nestingValid = [
   // Glob support for controlComponents option.
   { code: '<label><span>A label<CustomInput /></span></label>', options: [{ controlComponents: ['Custom*'] }] },
   { code: '<label><span>A label<CustomInput /></span></label>', options: [{ controlComponents: ['*Input'] }] },
+  // Rule does not error if presence of accessible label cannot be determined
+  { code: '<label><CustomText /><input /></label>' },
 ];
 
 const bothValid = [
diff --git a/src/rules/control-has-associated-label.js b/src/rules/control-has-associated-label.js
index 512a5213..4a691741 100644
--- a/src/rules/control-has-associated-label.js
+++ b/src/rules/control-has-associated-label.js
@@ -101,6 +101,8 @@ export default ({
           node,
           recursionDepth,
           labelAttributes,
+          elementType,
+          controlComponents,
         );
       }
 
diff --git a/src/rules/label-has-associated-control.js b/src/rules/label-has-associated-control.js
index 7ee98ef6..fd66f2cf 100644
--- a/src/rules/label-has-associated-control.js
+++ b/src/rules/label-has-associated-control.js
@@ -87,6 +87,8 @@ export default ({
         node,
         recursionDepth,
         options.labelAttributes,
+        elementType,
+        controlComponents,
       );
 
       if (hasAccessibleLabel) {
diff --git a/src/util/mayHaveAccessibleLabel.js b/src/util/mayHaveAccessibleLabel.js
index 31acee95..186ef5e0 100644
--- a/src/util/mayHaveAccessibleLabel.js
+++ b/src/util/mayHaveAccessibleLabel.js
@@ -9,8 +9,9 @@
  */
 
 import includes from 'array-includes';
-import { getPropValue, propName } from 'jsx-ast-utils';
+import { getPropValue, propName, elementType as rawElementType } from 'jsx-ast-utils';
 import type { JSXOpeningElement, Node } from 'ast-types-flow';
+import minimatch from 'minimatch';
 
 function tryTrim(value: any) {
   return typeof value === 'string' ? value.trim() : value;
@@ -46,6 +47,8 @@ export default function mayHaveAccessibleLabel(
   root: Node,
   maxDepth: number = 1,
   additionalLabellingProps?: Array<string> = [],
+  getElementType: ((node: JSXOpeningElement) => string) = rawElementType,
+  controlComponents: Array<string> = [],
 ): boolean {
   function checkElement(
     node: Node,
@@ -77,6 +80,20 @@ export default function mayHaveAccessibleLabel(
     ) {
       return true;
     }
+
+    if (node.type === 'JSXElement' && node.children.length === 0 && node.openingElement) {
+      // $FlowFixMe `node.openingElement` has `unknown` type
+      const name = getElementType(node.openingElement);
+      const isReactComponent = name.length > 0 && name[0] === name[0].toUpperCase();
+
+      if (
+        isReactComponent
+        && !controlComponents.some((control) => minimatch(name, control))
+      ) {
+        return true;
+      }
+    }
+
     // Recurse into the child element nodes.
     if (node.children) {
       /* $FlowFixMe */