Recombination of the triplet state radical pair consisting of two hydrogen atoms catalysed by molecular oxygen is considered as a simulating example of a paramagnetic-exchange catalytic process. Intermolecular exchange interaction in the collision complex between the Hz and Oa molecules is calculated a6 initio in STOdG and 6-31 G* basis sets with complete active space configuration interaction. Calculations are done at a fixed O-H distance ( = 3 A), scanning the H-H bond length from 0.6 till 12 8, at the linear geometry of collision.