A relief valve for an oil pump, may include a housing defining a relief space, a plunger slidably disposed in the relief space and dividing the relief space into a housing chamber and a plunger chamber, an elastic member elastically supporting the plunger and being compressed by oil pressure of the main gallery, wherein the oil pressure of the main gallery may be relatively lower than an oil pressure under a warm-up state of the engine, a locator disposed under the plunger and supporting the elastic member, a plug coupled to a lower portion of the housing under the relief space and supporting the locator such that a modulus of elasticity in the elastic member may be changed by a change in seat position of the elastic member, and a negative pressure supplier selectively generating negative vacuum pressure in the locator such that a height of the locator changes.