Coupled turbine vanes having an axis are produced by arranging a plurality of first fabrics of ceramic fibers in radial directions relative to the axis to constitute a plurality of vane sections, arranging a second fabric of the ceramic fibers in a circumferential direction relative to the axis, connecting the first fabrics with the second fabric by bending first ends of the first fabrics to lay them on the second fabric in parallel, and impregnating the plurality of first fabrics connected with the second fabric with the matrix.