A gas turbine combustor comprising: a pilot burner which is provided with a fuel injection means capable of injecting gas fuel and liquid fuel; a premixed combustion burner disposed In the outer circumference of said pilot burner, said premixed combustion burner including an outer circumferential wall and an inner wall forming the inner circumferential side, between which an annular premixed passage is formed; and a liner in an approximately cylindrical shape which is disposed on the downstream side of said premixed combustion burner, and which defines a combustion chamber in the inner wall, characterized In that: a plurality of flame stabilizers are radially disposed at the exit of said premixed combustion burner; and said plurality of flame stabilizers are formed as a plurality of radial projections, each projecting from the inner circumferential side thereof to the outer circumferential side thereof and are arranged in a cantilever manner on said inner circumferential side, and that said flame stabilizers are slantly disposed so that the outer circumferential side thereof is positioned on the downstream side thereof relative to the inner circumferential side at the edge on the downstream side of the flame stabilizer, and in that said flame stabilizers are fixed to said premixed combustion burner on the inner circumferential side, and edges on the outer circumferential side of said flame stabilizers are separated from the outer circumferential wall of said premixed combustion burner, a pilot burner which is provided with a fuel injection means capable of injecting gas fuel and liquid fuel; a premixed combustion burner disposed In the outer circumference of said pilot burner, said premixed combustion burner including an outer circumferential wall and an inner wall forming the inner circumferential side, between which an annular premixed passage is formed; and a liner in an approximately cylindrical shape which is disposed on the downstream side of said premixed combustion burner, and which defines a combustion chamber in the inner wall, characterized In that: a plurality of flame stabilizers are radially disposed at the exit of said premixed combustion burner; and said plurality of flame stabilizers are formed as a plurality of radial projections, each projecting from the inner circumferential side thereof to the outer circumferential side thereof and are arranged in a cantilever manner on said inner circumferential side, and that said flame stabilizers are slantly disposed so that the outer circumferential side thereof is positioned on the downstream side thereof relative to the inner circumferential side at the edge on the downstream side of the flame stabilizer, and in that said flame stabilizers are fixed to said premixed combustion burner on the inner circumferential side, and edges on the outer circumferential side of said flame stabilizers are separated from the outer circumferential wall of said premixed combustion burner, a plurality of flame stabilizers are radially disposed at the exit of said premixed combustion burner; and said plurality of flame stabilizers are formed as a plurality of radial projections, each projecting from the inner circumferential side thereof to the outer circumferential side thereof and are arranged in a cantilever manner on said inner circumferential side, and that said flame stabilizers are slantly disposed so that the outer circumferential side thereof is positioned on the downstream side thereof relative to the inner circumferential side at the edge on the downstream side of the flame stabilizer, and in that said flame stabilizers are fixed to said premixed combustion burner on the inner circumferential side, and edges on the outer circumferential side of said flame stabilizers are separated from the outer circumferential wall of said premixed combustion burner,