Calculations of the triton binding energy with the relativistic specta
tor or Gross equation are reported. The three-body equations and the b
asic ideas behind the approach are presented. Numerical results were o
btained for a family of realistic one-boson exchange models with off-s
hell scalar couplings. They represent the first three-nucleon binding
energies calculated with the full Dirac structure of the nucleons. It
is shown that the off-shell couplings improve both the fits to the two
-body data and the predictions for the binding energy. Boost effects a
nd connections to three-nucleon forces are discussed.