The complex Chebyshev error criterion is usually used as a general constraint in design of peak constraint weighted least square error (PCWLSE) filters. It applies an upper bound on the maximum magnitude of error between the desired and designed transfer functions of the filter. Therefore, it confines the corresponding maximum phase error as well. However, it imposes an over restricted constraint which reduces the feasibility region of the filter design problem. In this paper, a new and comprehensive class of constraints is proposed for design of PCWLSE filters that provides a larger feasible region than that of the complex Chebyshev constraint. Hence, the filter weights acquire larger feasible space to search and select better optimal values and consequently boost up the performance of the designed filter by achieving less weighted least square error. Simulation results show superiority of the proposed constraints over that of the complex Chebyshev criterion.