Abstract: The classification of revolution surfaces with given mean curvature was obtained by studying the corresponding profile curves in three-dimensional Minkowski space. According to the characteristics of the indefinite metric, three types of revolution surfaces in three-dimensional Minkowski space were obtained through a profile curve revolving around spacelike, timelike and lightlike axis, respectively. Assumes that the mean curvatures of these revolution surfaces were certain functions, the corresponding differential equations about the profile curves could be obtained. By solving these differential equations, the classification of the revolution surfaces with given mean curvature were acheived.