The teleportation of two-mode continuous variables was performed by using two two-mode squeezed vacuum states served as quantum channel. The average fidelity and the probability density were calculated for teleportation of a two-mode squeezed vacuum state. The results indicate that increased squeezing of teleported state will lead to a loss of fidelity. The probability density of measuring result consists of the product of two bivariate normed density functions, and it shows that when the average fidelity goes up, the probability of obtaining large measurement value also increases.