Based on roof strata control of overhead mining working face, deformation characteristics of roof strata and difference of close coal seam were analyzed, two damage forms of along and vertically the coal seam of inclined coal seam roof were given. Based on characteristics of coal and rock mass, its constitutive equation and creep equation were analyzed by Maxwell elastic-viscous model, the stress analysis model of the roof strata of the invert surface was set, equilibrium equation of working space and combination equation of roof stress field and displacement field of space after supporting, which showed evolution law of stress field and displacement field of roof strata of overhead mining. Analytic equation of stress field and displacement field provided theoretical reference for strata deformation control and support selection of overhead mining.