We show how to incorporate baryons in the heavy quark effective theory. A convenient formalism is exhibited and applied to semileptonic weak decays of heavy baryons. In general, the heavy quark effective theory reduces the number of form factors necessary to describe the matrix elements for transitions among heavy baryons. We also note that in semileptonic weak decays of ∆c one arrives at an important and experimentally testable prediction that two form factors suffice to describe this process. As a further application of the formalism we discuss exclusive production of heavy baryons in e +e - annihilation.