In this paper we prove a compactness and semicontinuity result in GSBD for sequences with bounded Griffith energy. This generalises classical results in .G/SBV by Ambrosio [1, 2, 4] and SBD by Bellettini-Coscia-Dal Maso [9]. As a result, the static problem in Francfort-Marigo's variational approach to crack growth [30] admits (weak) solutions.