A turbine housing , comprising: a housing body which includes a turbine housing part housing a turbine wheel , an inlet section forming an inlet flow passage for guiding exhaust gas to the turbine housing part , an outlet section forming an outlet flow passage for discharging the exhaust gas from the turbine housing part , and a waste-gate flow passage which brings the inlet flow passage and the outlet flow passage into communication so as to bypass the turbine housing part , the waste-gate flow passage being formed by an inner wall surface of the housing body ; and a sleeve disposed along the inner wall surface forming the waste-gate flow passage , at least on a downstream side of the waste-gate flow passage of the housing body with respect to a flow direction of the exhaust gas, wherein the housing body includes a concave portion disposed along a peripheral edge of an opening end on the downstream side of the waste-gate flow passage of the housing body with respect to the flow direction of the exhaust gas, and wherein the sleeve includes a convex portion disposed so as to project outward in a radial direction of the sleeve so as to be engaged with the concave portion , wherein the sleeve is inserted into the waste-gate flow passage from the outlet section toward the inlet section to be supported on the housing body so that a gap is formed between the inner wall surface forming the waste-gate flow passage and an outer surface of the sleeve , characterized in that the housing body includes an annular pressure support portion disposed so as to protrude by a width of the gap inward in a radial direction from the inner wall surface of the housing body . a housing body which includes a turbine housing part housing a turbine wheel , an inlet section forming an inlet flow passage for guiding exhaust gas to the turbine housing part , an outlet section forming an outlet flow passage for discharging the exhaust gas from the turbine housing part , and a waste-gate flow passage which brings the inlet flow passage and the outlet flow passage into communication so as to bypass the turbine housing part , the waste-gate flow passage being formed by an inner wall surface of the housing body ; and a sleeve disposed along the inner wall surface forming the waste-gate flow passage , at least on a downstream side of the waste-gate flow passage of the housing body with respect to a flow direction of the exhaust gas, wherein the housing body includes a concave portion disposed along a peripheral edge of an opening end on the downstream side of the waste-gate flow passage of the housing body with respect to the flow direction of the exhaust gas, and wherein the sleeve includes a convex portion disposed so as to project outward in a radial direction of the sleeve so as to be engaged with the concave portion , wherein the sleeve is inserted into the waste-gate flow passage from the outlet section toward the inlet section to be supported on the housing body so that a gap is formed between the inner wall surface forming the waste-gate flow passage and an outer surface of the sleeve , characterized in that the housing body includes an annular pressure support portion disposed so as to protrude by a width of the gap inward in a radial direction from the inner wall surface of the housing body . <EOS>