In an effort to improve existing multipulse LP speech synthesis methods, we propose in this paper a new multipulse synthesis method which is devised to modify in two aspects the exisiting multipulse algorithms. First, in order to lessen the influence of the pitch periodicity of voiced speech upon conventional estimation of vocal tract, sample selective LP analysis is applied to estimate the vocal tract transfer function and thus is used as the synthesis filter of MPLPC method. Conventional residual signal is exploited so as to sort out from the analysis set those speech samples which have seemingly been influenced by the pitch bias effect. Second, instead of searching, for the pulses on every point in the frame, a new method, called candidate locations restricted searching (CLRS), is devised so that computational loads for the multipulse searching could be lessened.