A new kind of fiber-optie interferomebar called coupled fiber ring interferometer array (CPRIA) is proposed. The theoveftical analysis based on coupled mode equations and matrix aproash is given to deseribe the trans nission cbaracteristies of CFRIA made of two-, three-, four-, N-coupler. It is shown that a suitable choise of coupling coefficients of couplers results in a controllable transmission properties and wider spectral range compared with single fiber ring interferometer.