Provided is a razor assembly including: one or more razor blades, each having a cutting edge; a housing which accommodates the razor blades in a transverse direction perpendicular to a shaving direction; a connector which is detachably coupled to the housing at the back of the housing; a razor handle which is coupled to the connector such that the connector can pivot about a rotation axis perpendicular to the transverse direction; and an elastic member which has a first end engaged with a first fixing portion formed in the connector and a second end engaged with a second fixing portion formed in the razor handle, wherein when the connector pivots about the rotation axis with respect to the razor handle, the elastic member is deformed to provide a restoring force that causes the connector to return to a neutral position.