  We present the results of several surveys for supernovae (SNe) in galaxy
clusters. SNe discovered in deep, archival HST images were used to measure the
cluster SN Ia rate to z=1. A search for SNe in nearby (0.06 < z < 0.2) Abell
galaxy clusters yielded 15 SNe, 12 of which were spectroscopically confirmed.
Of these, 7 are cluster SNe Ia, which we will use to measure the SN Ia rate in
nearby clusters. This search has also discovered the first convincing examples
of intergalactic SNe. We conclude with a brief description of ongoing and
future cluster SN surveys.
