We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice $ℒ$ we may associate a bilattice ${\Sigma }_{ℒ}$. Similarly, having a bilattice $\Sigma$ we may construct a subspace lattice ${ℒ}_{\Sigma }$. Connections between reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.