We have studied the finite size scaling and universality of the spin models
on the two-dimensional triangle lattice by using the Monte Carlo simulatio
ns for the short-time critical dynamics. Our investigation shows that the p
ower-law behavior of the magnetization, the second magnetic moment and the
auto-correlation, as well as their finite size scaling relations, can be us
ed to estimate the critical exponents theta, z and beta/v. The results of t
heta = 0.191(2), z = 2.153(2) and 2 beta/v = 0.252(2) for Ising model, and
theta = 0.076(1), z = 2.191(1) and 2 beta/v = 0.266(2) for Potts model are
identical with those for the corresponding models on the square lattice. So
the universality proposal in the short-time critical dynamics is verified
numerically.