Combined Gauss function with Maximum Average Correlation Height (MACH) algorithm, Gauss-Maximum Average Correlation Height (GMACH) filter is designed. The Hybrid-Distortion target (existing the scale distortion and rotation distortion simultaneously) could be recognized with GMACH filter. In order to improve the Hybrid-Distortion target response ability of the GMACH filter, the standard deviation σ, output noise variance coefficient α, the average correlation energy coefficient β and average similarly measure coefficient γ are optimized and balanced. Through the simulation experiment, it is known that the arbitrary hybrid-distortion target can be recognized by a single GMACH filter within the distortion tolerance range (the scale distortion tolerance is 0.92~1.16 times and the rotation distortion tolerance is －8~24 degrees). As experiment example, a plane under cluttered background was recognized using the GMACH filter. Experiment results prove the feasibility of this method.