The influences of defocus dispersion and propagation time delay, which are caused by the chromatic aberration in cascade large-diameter spatial filters, on the ultra-short pulse shape and the temporal contrast are investigated. The relationship among beam diameter, chromatic aberration, pulse shape distortion and temporal contrast degradation in both near and far fields is quantitatively analyzed by the numerical simulation. From the perspective of pulse shape and temporal contrast, the tolerance range of residual chromatic aberration from large-diameter spatial filters after achromatism is given, which provides a theoretical foundation for the design and optimization of spatial filters in a high power ultra-short pulsed laser system.