The dynamic response characteristics of super-Gaussian pulse to reverse saturable absorption (RSA) effect are studied theoretically based on a couple model of nonlinear propagation and rate equations. The spatiotemporal evolution of laser intensity in RSA material and the dynamics of the interplay between the pulse and the carrier are investigated. Effects of the variation of excited-state lifetime are discussed and material parameters are optimized to avoid spatiotemporal distortion. The calculation supports guidelines for design of new RSA materials in spatiotemporal shape sensitive applications.