A compressor comprising: a housing; a scroll type compression mechanism housed in the housing and having a fixed scroll; a discharge cover provided with a discharge port through which a refrigerant compressed by the compression mechanism and discharged from the fixed scroll passes; a cover member installed between the discharge cover and the fixed scroll; and an injection pipe having an end connected to the discharge cover and configured to allow a refrigerant to flow therethrough, the refrigerant being to be introduced into a compression chamber of the compression mechanism, wherein the discharge cover or the cover member has a refrigerant distribution flow passage (45, 44) for distributing the refrigerant supplied from the injection pipe into a plurality of portions, and the cover member has a plurality of refrigerant flow passages (32, 41) that are formed so as to penetrate from a first surface on a side of the discharge cover to a second surface on a side of the fixed scroll, and allow the refrigerants distributed by the refrigerant distribution flow passage (45, 44) to flow through, and injection ports (26, 42) for introducing, to the compression chamber, the refrigerants which pass through the refrigerant flow passages (32, 41) are formed in the fixed scroll, characterized in that the injection pipe is a gas injection pipe that has an end connected to the discharge cover and is configured to allow gaseous refrigerant gas to be introduced into the compression chamber, and the compressor comprises a liquid injection pipe that has an end connected to the cover member and is configured to allow refrigerant liquid to flow therethrough, the refrigerant liquid being to be introduced into the compression chamber of the compression mechanism, the refrigerant distribution flow passage (45, 44) is a refrigerant gas distribution flow passage (45, 44) for distributing the refrigerant gas supplied from the gas injection pipe into the plurality of portions, the plurality of refrigerant flow passages (32, 41) comprises: a plurality of refrigerant gas flow passages, and a refrigerant liquid flow passage; and the injection ports (26, 42) comprise: gas injection ports for introducing the refrigerant gas to the compression chamber, and a liquid injection port for introducing the refrigerant liquid to the compression chamber. a housing; a scroll type compression mechanism housed in the housing and having a fixed scroll; a discharge cover provided with a discharge port through which a refrigerant compressed by the compression mechanism and discharged from the fixed scroll passes; a cover member installed between the discharge cover and the fixed scroll; and an injection pipe having an end connected to the discharge cover and configured to allow a refrigerant to flow therethrough, the refrigerant being to be introduced into a compression chamber of the compression mechanism, wherein the discharge cover or the cover member has a refrigerant distribution flow passage (45, 44) for distributing the refrigerant supplied from the injection pipe into a plurality of portions, and the cover member has a plurality of refrigerant flow passages (32, 41) that are formed so as to penetrate from a first surface on a side of the discharge cover to a second surface on a side of the fixed scroll, and allow the refrigerants distributed by the refrigerant distribution flow passage (45, 44) to flow through, and injection ports (26, 42) for introducing, to the compression chamber, the refrigerants which pass through the refrigerant flow passages (32, 41) are formed in the fixed scroll, characterized in that the injection pipe is a gas injection pipe that has an end connected to the discharge cover and is configured to allow gaseous refrigerant gas to be introduced into the compression chamber, and the compressor comprises a liquid injection pipe that has an end connected to the cover member and is configured to allow refrigerant liquid to flow therethrough, the refrigerant liquid being to be introduced into the compression chamber of the compression mechanism, the refrigerant distribution flow passage (45, 44) is a refrigerant gas distribution flow passage (45, 44) for distributing the refrigerant gas supplied from the gas injection pipe into the plurality of portions, the plurality of refrigerant flow passages (32, 41) comprises: a plurality of refrigerant gas flow passages, and a refrigerant liquid flow passage; and the injection ports (26, 42) comprise: gas injection ports for introducing the refrigerant gas to the compression chamber, and a liquid injection port for introducing the refrigerant liquid to the compression chamber. a plurality of refrigerant gas flow passages, and a refrigerant liquid flow passage; and the injection ports (26, 42) comprise: gas injection ports for introducing the refrigerant gas to the compression chamber, and a liquid injection port for introducing the refrigerant liquid to the compression chamber. gas injection ports for introducing the refrigerant gas to the compression chamber, and a liquid injection port for introducing the refrigerant liquid to the compression chamber.