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A figure of merit is defined for pulse-forming networks which takes into account frequency response as well as time response, and a class of filters was found that is best in the sense of this criterion. The characteristics of these filters in the stop band and in parts of the time domain lead to a new approximation problem, which is stated in the frequency and time domain simultaneously. Numerical solutions have been obtained for the parameters of a large number of filters of different degree. The frequency response and the delay of these filters in the pass band are very unusual when compared with those of pulse-forming networks known so far. The parameters of some of these filters are given in the Appendix.