A bearing housing carries a bearing in which an end of a rotary shaft is to be mounted. A safety end cap is mounted to the housing to cover the shaft end. The end cap includes a cupshaped plastic body which has a circular front rim, and a pair of metal brackets slidably mounted in slits formed in the body behind the rim. Outer ends of the brackets are bent to engage side surfaces of the housing, and the end cap is permanently secured to the housing by rivets which extend through the brackets.