A propylene polymerization reaction apparatus and a production method of a propylene-based polymer are capable of producing a continuous multi-stage polymer in low cost, high productivity and stably, and significantly reducing generation amount of an off-specification product accompanying change of polymerization condition, in multi-stage continuous vapor phase polymerization method of a propylene-based polymer using a catalyst for olefin polymerization. A reaction apparatus for producing a propylene-based polymer by a multi-stage continuous vapor phase polymerization method is used. One or more reactor of a horizontal-type reactor having inside a stirring machine which rotates around a horizontal axis, and a continuous stirred tank reactor to be connected to the horizontal-type reactor are provided, and a production method of a propylene-based polymer using the same.