In this paper, we present a method for the design of an FIR filter that minimizes the Chebyshev error in the magnitude frequency domain. The method exhibits desirable properties similar to those characterizing the Parks-McClellan algorithm and requires less than seven iterations to solve the nonlinear filter design problem. The O ( N 2 ) iterative method yields filters that are 40% better than those designed using conventional techniques and results in filters that are 30% shorter.