A temperature raising system for an exhaust gas purification catalyst comprising: a turbine that is arranged in an exhaust passage of an internal combustion engine; an exhaust gas purification catalyst that is arranged in a portion in said exhaust passage at the downstream side of said turbine; a bypass passage that connects a portion in said exhaust passage between said turbine and said exhaust gas purification catalyst and a portion therein at the upstream side of said turbine with each other; characterized in that the system comprises further; a fuel addition valve that is arranged in a portion in said exhaust passage between a downstream side connection portion connected with said bypass passage and said turbine, and adds fuel to an exhaust gas flowing through said exhaust passage; an ignition device that is arranged in a portion in said exhaust passage between said downstream side connection portion and said turbine, and ignites the added fuel which has been added by said fuel addition valve; a first temperature raising control means that causes the exhaust gas having bypassed said turbine to flow into said exhaust gas purification catalyst through said bypass passage, at the time when a request for raising the temperature of said exhaust gas purification catalyst is made; and a second temperature raising control means that executes fuel ignition control in which said fuel addition valve is caused to add fuel to the exhaust gas which has flowed out of said turbine, and said ignition device is caused to ignite the added fuel, at the time when the request for raising the temperature of said exhaust gas purification catalyst is made. a turbine that is arranged in an exhaust passage of an internal combustion engine; an exhaust gas purification catalyst that is arranged in a portion in said exhaust passage at the downstream side of said turbine; a bypass passage that connects a portion in said exhaust passage between said turbine and said exhaust gas purification catalyst and a portion therein at the upstream side of said turbine with each other; characterized in that the system comprises further; a fuel addition valve that is arranged in a portion in said exhaust passage between a downstream side connection portion connected with said bypass passage and said turbine, and adds fuel to an exhaust gas flowing through said exhaust passage; an ignition device that is arranged in a portion in said exhaust passage between said downstream side connection portion and said turbine, and ignites the added fuel which has been added by said fuel addition valve; a first temperature raising control means that causes the exhaust gas having bypassed said turbine to flow into said exhaust gas purification catalyst through said bypass passage, at the time when a request for raising the temperature of said exhaust gas purification catalyst is made; and a second temperature raising control means that executes fuel ignition control in which said fuel addition valve is caused to add fuel to the exhaust gas which has flowed out of said turbine, and said ignition device is caused to ignite the added fuel, at the time when the request for raising the temperature of said exhaust gas purification catalyst is made.