The ob ject ive of th is paper is to generalize the Cou rno t model w ith two f irm s to general dynam ic Cou rno t modelw ith f irm smo re than two. Given the m athem at ical fo rm u la of the general dy2 nam ic Cou rno t model, it is p roved that the equ ilib rium so lu t ion of th is model alw ays ex ist s, and fu r2 thermo re, the fo rm u la of the equ ilib rium so lu t ion is ob tained. These resu lt s give con t ribu t ion s to the theo ry of Cou rno t model