Inxuba Yethemba Municipality (Xhosa: uMasipala wase Inxuba Yethemba; Afrikaans: Inxuba Yethemba Munisipaliteit), formerly known as Cradock Municipality, is a local municipality within the Chris Hani District Municipality, in the Eastern Cape province of South Africa. The seat is Cradock.

The municipal council consists of eighteen members elected by mixed-member proportional representation. Nine councillors are elected by first-past-the-post voting in nine wards, while the remaining nine are chosen from party lists so that the total number of party representatives is proportional to the number of votes received. In the election of 1 November 2021 the African National Congress (ANC) won a majority of ten seats on the council.

The following table shows the results of the election.

The 2001 census divided the municipality into the following main places: