diff --git a/packages/schema-converter-shex/src/typing/ShexJTypingTransformer.ts b/packages/schema-converter-shex/src/typing/ShexJTypingTransformer.ts
index 272aa58..445107c 100644
--- a/packages/schema-converter-shex/src/typing/ShexJTypingTransformer.ts
+++ b/packages/schema-converter-shex/src/typing/ShexJTypingTransformer.ts
@@ -45,6 +45,18 @@ export const ShexJTypingTransformer = ShexJTraverser.createTransformer<
     NodeConstraint: {
       return: dom.Type;
     };
+    ShapeOr: {
+      return: dom.UnionType;
+    };
+    ShapeAnd: {
+      return: dom.IntersectionType;
+    };
+    ShapeNot: {
+      return: never;
+    };
+    ShapeExternal: {
+      return: never;
+    };
   },
   ShexJTypeTransformerContext
 >({
@@ -82,7 +94,7 @@ export const ShexJTypingTransformer = ShexJTraverser.createTransformer<
       } else {
         // TODO: Handle other items
         throw new Error(
-          "Cannot handle ShapeOr, ShapeAnd, ShapeNot, ShapeExternal, or NodeConstraint",
+          "Cannot handle ShapeOr, ShapeAnd, ShapeNot, ShapeExternal, or NodeConstraint direcly on ShapeDecl.",
         );
       }
     },
@@ -330,4 +342,34 @@ export const ShexJTypingTransformer = ShexJTraverser.createTransformer<
       return dom.type.undefined;
     },
   },
+  ShapeOr: {
+    transformer: async (shapeOr, getTransformedChildren) => {
+      const transformedChildren = await getTransformedChildren();
+      const validTypes: dom.Type[] = [];
+      transformedChildren.shapeExprs.forEach((type) => {
+        if (typeof type === "object") validTypes.push(type);
+      });
+      return dom.create.union(validTypes);
+    },
+  },
+  ShapeAnd: {
+    transformer: async (shapeAnd, getTransformedChildren) => {
+      const transformedChildren = await getTransformedChildren();
+      const validTypes: dom.Type[] = [];
+      transformedChildren.shapeExprs.forEach((type) => {
+        if (typeof type === "object") validTypes.push(type);
+      });
+      return dom.create.intersection(validTypes);
+    },
+  },
+  ShapeNot: {
+    transformer: async () => {
+      throw new Error("ShapeNot is not supported");
+    },
+  },
+  ShapeExternal: {
+    transformer: async () => {
+      throw new Error("ShapeExternal is not supported");
+    },
+  },
 });
diff --git a/packages/schema-converter-shex/test/context.test.ts b/packages/schema-converter-shex/test/context.test.ts
index 0df8e48..152eb4a 100644
--- a/packages/schema-converter-shex/test/context.test.ts
+++ b/packages/schema-converter-shex/test/context.test.ts
@@ -9,7 +9,9 @@ describe("context", () => {
       const schema: Schema = parser
         .construct("https://ldo.js.org/")
         .parse(shexc);
+      // console.log("SCHEMA:", JSON.stringify(schema, null, 2));
       const context = await shexjToContext(schema);
+      // console.log("CONTEXT:", JSON.stringify(context, null, 2));
       expect(context).toEqual(successfulContext);
     });
   });
diff --git a/packages/schema-converter-shex/test/testData/andSimple.ts b/packages/schema-converter-shex/test/testData/andSimple.ts
new file mode 100644
index 0000000..54010cf
--- /dev/null
+++ b/packages/schema-converter-shex/test/testData/andSimple.ts
@@ -0,0 +1,47 @@
+import type { TestData } from "./testData";
+
+/**
+ * AND SIMPLE
+ */
+export const andSimple: TestData = {
+  name: "andSimple",
+  shexc: `
+  PREFIX ex: <https://example.com/>
+
+  ex:MediaContainerShape {
+    a [ ex:MediaContainer ];
+    ex:videoImage (@ex:VideoShape AND @ex:ImageShape) ;
+  }
+
+  ex:VideoShape {
+    a [ ex:Video ];
+  }
+
+  ex:ImageShape {
+    a [ ex:Image ];
+  }
+  `,
+  sampleTurtle: "",
+  baseNode: "",
+  successfulContext: {
+    MediaContainer: {
+      "@id": "https://example.com/MediaContainer",
+      "@context": {
+        type: {
+          "@id": "@type",
+        },
+        videoImage: {
+          "@id": "https://example.com/videoImage",
+          "@type": "@id",
+        },
+      },
+    },
+    type: {
+      "@id": "@type",
+    },
+    Video: "https://example.com/Video",
+    Image: "https://example.com/Image",
+  },
+  successfulTypings:
+    'import {ContextDefinition} from "jsonld"\n\nexport interface MediaContainerShape {\n    "@id"?: string;\n    "@context"?: ContextDefinition;\n    type: {\n        "@id": "MediaContainer";\n    };\n    videoImage: VideoShape & ImageShape;\n}\n\nexport interface VideoShape {\n    "@id"?: string;\n    "@context"?: ContextDefinition;\n    type: {\n        "@id": "Video";\n    };\n}\n\nexport interface ImageShape {\n    "@id"?: string;\n    "@context"?: ContextDefinition;\n    type: {\n        "@id": "Image";\n    };\n}\n\n',
+};
diff --git a/packages/schema-converter-shex/test/testData/orSimple.ts b/packages/schema-converter-shex/test/testData/orSimple.ts
new file mode 100644
index 0000000..b23ac84
--- /dev/null
+++ b/packages/schema-converter-shex/test/testData/orSimple.ts
@@ -0,0 +1,53 @@
+import type { TestData } from "./testData";
+
+/**
+ * OR SIMPLE
+ */
+export const orSimple: TestData = {
+  name: "orSimple",
+  shexc: `
+  PREFIX ex: <https://example.com/>
+
+  ex:MediaContainerShape {
+    a [ ex:MediaContainer ];
+    ex:primaryMedia (@ex:VideoShape OR @ex:ImageShape) ;
+    ex:media (@ex:VideoShape OR @ex:ImageShape) * ;
+  }
+
+  ex:VideoShape {
+    a [ ex:Video ];
+  }
+
+  ex:ImageShape {
+    a [ ex:Image ];
+  }
+  `,
+  sampleTurtle: "",
+  baseNode: "",
+  successfulContext: {
+    MediaContainer: {
+      "@id": "https://example.com/MediaContainer",
+      "@context": {
+        type: {
+          "@id": "@type",
+        },
+        primaryMedia: {
+          "@id": "https://example.com/primaryMedia",
+          "@type": "@id",
+        },
+        media: {
+          "@id": "https://example.com/media",
+          "@type": "@id",
+          "@isCollection": true,
+        },
+      },
+    },
+    type: {
+      "@id": "@type",
+    },
+    Video: "https://example.com/Video",
+    Image: "https://example.com/Image",
+  },
+  successfulTypings:
+    'import {ContextDefinition} from "jsonld"\n\nexport interface MediaContainerShape {\n    "@id"?: string;\n    "@context"?: ContextDefinition;\n    type: {\n        "@id": "MediaContainer";\n    };\n    primaryMedia: VideoShape | ImageShape;\n    media?: (VideoShape | ImageShape)[];\n}\n\nexport interface VideoShape {\n    "@id"?: string;\n    "@context"?: ContextDefinition;\n    type: {\n        "@id": "Video";\n    };\n}\n\nexport interface ImageShape {\n    "@id"?: string;\n    "@context"?: ContextDefinition;\n    type: {\n        "@id": "Image";\n    };\n}\n\n',
+};
diff --git a/packages/schema-converter-shex/test/testData/testData.ts b/packages/schema-converter-shex/test/testData/testData.ts
index bf4d599..04dac04 100644
--- a/packages/schema-converter-shex/test/testData/testData.ts
+++ b/packages/schema-converter-shex/test/testData/testData.ts
@@ -7,6 +7,8 @@ import { simple } from "./simple";
 import { extendsSimple } from "./extendsSimple";
 import { reusedPredicates } from "./reusedPredicates";
 import { oldExtends } from "./oldExtends";
+import { orSimple } from "./orSimple";
+import { andSimple } from "./andSimple";
 
 export interface TestData {
   name: string;
@@ -26,4 +28,6 @@ export const testData: TestData[] = [
   extendsSimple,
   oldExtends,
   reusedPredicates,
+  orSimple,
+  andSimple,
 ];
diff --git a/packages/schema-converter-shex/test/typing.test.ts b/packages/schema-converter-shex/test/typing.test.ts
index 6321e26..f9a828e 100644
--- a/packages/schema-converter-shex/test/typing.test.ts
+++ b/packages/schema-converter-shex/test/typing.test.ts
@@ -9,7 +9,10 @@ describe("typing", () => {
       const schema: Schema = parser
         .construct("https://ldo.js.org/")
         .parse(shexc);
+      // console.log("SCHEMA:", JSON.stringify(schema, null, 2));
       const [typings] = await shexjToTyping(schema);
+      // console.log(typings.typingsString);
+      // console.log(JSON.stringify(typings.typingsString));
       expect(typings.typingsString).toBe(successfulTypings);
     });
   });