At present, pulse measurement systems based on spectral phase interferometry for direct electric-field reconstruction (SPIDER) may have problems in chirped pulse characterization. In this paper we propose and demostrate a Modified-ZAP SPIDER system to solve this problem. Femtosecond pulses from a KLM Ti:sapphire laser and the chirped pulses obtained by broadening by a 80 mm BK7 glass block are respectively measured. The experimental results show that the novel MZAP-SPIDER system performs well in chirped pulse measurement.