The fluorescence excitation spectrum of the BKr van der Waals complex in the vicinity of the B atomic 2s2p2 2D ← 2s22p 2P transition is reported. A vibrational progression in this spectrum is assigned to the D2Π ← X2Π1/2 transition, in analogy with BAr. The lifetimes of BKr(D2Π) vibrational levels are considerably smaller than the B(2s2p2 2D) atomic lifetime, indicative of an excited state predissociation. From the observed threshold for B(2s2p2 2D) + Kr continuum excitation, we obtain estimates of the BKr dissociation energies for the ground X2Π1/2 (D0‘‘ = 159.4 ± 1.2 cm-1) and the excited D2Π (D0‘ = 120.6 ± 1.2 cm-1) states. Two weak bands recorded in the same spectral region are tentatively assigned to the E2Σ+ ← X2Π1/2 transition. In the spectral region around the B atomic 2s23s 2S ← 2s22p 2P transition to the lowest Rydberg state, no bands assignable to diatomic BKr are found, in contrast to the BNe and BAr systems. Instead, complicated fluorescence excitation features are observed, and these are believed to be due to excitation of higher BKrn clusters. It appears that both the B2Σ+ and C2Δ states of BKr do not fluoresce because of predissociation through spin−orbit coupling to a repulsive quartet state.