The object of the paper is an examination of the lowpass and highpass step and impulse responses of filters using the Legendre polynomial approximation. As in previous papers, the response data are presented in tabular and graphical form for Legendre filters of ordern= 1, 2, …, 9, for passband tolerances of 0.5, 1, 2 and 3 dB. The salient features of the transient response of the Legendre filters are discussed and compared, in a general manner, to the corresponding transient response of the Chebyshev filters. Tables and figures not included in the summary are given in the complete paper.