This work deals with energy transfer from the resonant state Kr(3P1) to xenon. A pulsed, brief and selective excitation of the molecular state Kr2[1u(3P1)] was achieved with a dye laser. An electrometer was used to select the appropriate excitation wavelength in order to prevent ionization. In mixtures, instead of the continuum of krypton, when a small amount of xenon was added, the first and second continua of xenon were observed, even though Kr(3P1) was initially excited, proving the efficiency of the energy transfer. From the temporal analysis in pure krypton, the three-body rate constants for Kr(3P1) and Kr(3P2) and the lifetime of the excimer Kr2[1u(3P1)] have been measured again. In the mixtures, we clearly showed the occurrence of energy transfer from Kr(3P1) to the Xe[5d(7/2)3] level, with a two-body collision rate constant of 6.8 × 105 Torr−1 s−1. A weak coupling could also intervene between these two states. The reverse collision rate constant ki was found to be about 2.9 × 103 Torr−1 s−1. The ternary heteronuclear collision rate constant of the Xe(3P2) state determined at 145 nm and 168 nm is in good agreement (38.7 Torr−2 s−1 and 36.7 Torr−2 s−1, respectively). Finally, a kinetic scheme of the main reaction processes is proposed.