The invention relates to the field of axial flow compressors, in particular to a grinding method for stationary blades of an axial flow compressor. The grinding method includes the steps that gap measurement values between a rotor and stationary blades on a machine shell of the axial flow compressor are obtained; through the subtraction between preset gap design values and the gap measurement values, grinding values of the stationary blades are obtained; the machine shell is installed on a vertical lathe, and a coordinate system is established through the vertical lathe; through the coordinatesystem, initial coordinates of to-be-processed parts of the stationary blades are obtained; through the coordinate system, target coordinates of the stationary blades after grinding according to thegrinding values are obtained; the to-be-processed parts of the stationary blades are ground through grinding wheels installed at the bottom of a ram of the vertical lathe, and the grinding surfaces ofthe grinding wheels move to the target coordinates from the initial coordinates to stop grinding. The initial coordinates and the target coordinates of the stationary blades are determined, the grinding surfaces of the grinding wheels can accurately abut against the to-be-processed parts of the stationary blades, and therefore grinding of the to-be-processed parts of the stationary blades is accurately completed through the grinding wheels according to the grinding amount.