An attempt is made to calculate the reaction cross section for hot reactions of the type ZY + X → ZX + Y, where X and Y are isotopes. For this purpose, a model is assumed which permits a simple (classical) treatment of the three interacting particles. The reaction cross section σ(E) is obtained by averaging over initial conditions selected in a random manner, by the Monte Carlo method. The results are compared with those obtained by Karplus, et al., for reactions H2(D2) + T→ H(D)T + H(D) and with experiment. In all cases a good fit is obtained. © 1969, American Chemical Society. All rights reserved.