An improved umbrella top notch and runner are provided for an umbrella including a shaft, plural ribs, and plural stretchers, in addition to the top notch and the runner. The top notch, structurally the same as the runner, includes a main body and plural building blocks. Each building block has a threaded hole through which a screw rod can pass to fasten the building block to the periphery of the main body. Each building block has a projecting pin on one lateral side and a recess on the opposite lateral side. When the building blocks are fastened to the periphery of the main body, the front end of the projecting pin on one lateral side of each building block is fittingly received in the recess of the adjacent building block. Each building block can be detached from the main body to facilitate replacement of the ribs and stretchers.