The collisions of two-photon laser excited Xe(5p56p) atoms and nitrogen molecules induce the excitation to N2(B3∏g,v= 9-14) vibrational levels. Subsequent fluorescence emission of N2 (B3∏g - A 3∑u+) with Δv= 4 was observed. The total quenching rate constants of Xe(6p) states in N2 have been measured. The collisionsl relaxation mechanism has been discussed.