A method for producing a fiber-reinforced composite material is provided. By satisfying particular conditions, this method is capable of suppressing the problem of poor appearance caused by the release film in the production of the fiber-reinforced composite material having a three-dimensional shape by heat-press molding to enable production of the fiber-reinforced composite material having a high quality appearance in high cycle.A method for manufacturing a fiber-reinforced composite material wherein a fiber-reinforced substrate containing a reinforcing fiber (A) and a thermosetting resin (B) is sandwiched between release films (C) to constitute a layered material, and the layered material is pressed in a mold heated to molding temperature to thereby cure the thermosetting resin (B), wherein the method satisfies the following (i), (ii), and (iii) or (i), (ii), and (iv): (i) the fiber-reinforced composite material has at least 1 bent part, (ii) the molding temperature is 130 to 180° C., and pressure application time is 0.5 to 20 minutes, (iii) the release film (C) has a thermal contraction rate satisfying the following expressions (1) and (2): 0