Quenching of Hg(6(1)P(1)) and Hg(6(3)P(0,1,2)<--6(1)P(1)) intermultiplet transfer induced by collisions with H-2 molecules have been studied. The 6(1)P(1) state was excited by a 185 nm radiation generated by two photon resonant four wave sum mixing in Hg vapor, the 6(1)P(1) and 6(1)P(0,1,2) state populations were probed by laser induced fluorescence. The Hg(6(1)P(1)) quenching rate constant has been found equal to 6+/-0.9x10(-10) s(-1) cm(3) in good agreement with a previous determination. The ratio of the 6(3)P(2)<--6(1)P(1) and 6(3)P(1)<--6(1)P-1 transfer rate constants has been determined; no transfer to the 6(3)P(0) state was observed.