  We develop a scheme for the minimal coupling of all standard types of tensor
and spinor field matter to Plebanski gravity. This theory is a geometric
reformulation of vacuum general relativity in terms of two-form frames and
connection one-forms, and provides a covariant basis for various quantization
approaches. Using the spinor formalism we prove the consistency of the newly
proposed matter coupling by demonstrating the full equivalence of Plebanski
gravity plus matter to Einstein--Cartan gravity. As a byproduct we also show
the consistency of some previous suggestions for matter actions.
