Summary: We construct \(N=1\) supersymmetric versions of four-dimensional Freedman-Townsend models and generalizations thereof found recently by Henneaux and Knaepen, with couplings between 1-form and 2-form gauge potentials. The models are presented both in a superfield formulation with linearly realized supersymmetry and in WZ gauged component form. In the latter formulation the supersymmetry transformations are non-linear and do not commute with all the gauge transformations. Among others, our construction yields \(N=1\) counterparts of recently found \(N=2\) supersymmetric gauge theories involving vector-tensor multiplets with gauged central charge.