The phase diagram of the Askhim-Teller model in two dimensions is dete
rmined. Numerical calculations are performed for the simple square L x
L lattice using transfer matrix technique. Exploiting finite-size sca
ling all unknown critical lines were obtained with good accuracy. An e
xtended version of the Ashkin-Teller model is also considered within t
he molecular field renormalization group method and the critical surfa
ce for three-parameter odd-parity Hamiltonian is calculated.