Friction hinge for a pivoting door, window or shutter provided with a fixed frame, provided with at least a first section bar having an inner side with a first anchoring cavity obtained inside it delimited by at least a first longitudinal tooth and with a movable leaf, provided with at least a second section bar having an outer side with a second anchoring cavity obtained inside it, also delimited by at least a second longitudinal tooth, said friction hinge comprising: - a first friction body susceptible of being held on said fixed frame through first fastening means mechanically engaged to the first anchoring cavity of said first section bar and rigidly fastened to said first friction body; - a second friction body pivotably mechanically coupled to said first friction body and susceptible of being fastened to said movable leaf through second fastening means mechanically engaged to the second anchoring cavity of said second section bar and rigidly fastened to said second friction body; characterised in that at least one of said first and second fastening means (13, 14) comprise: - a plate fastened to the respective inner or outer side (4, 7) of the corresponding first and second section bar (2', 3'); - and a counterplate provided with an engagement portion engaged by shape interference within the first or the second anchoring cavity (5, 8) of the corresponding first or second section bar (2', 3') beneath said plate and fastened to the corresponding first or second friction body (10, 11) through at least a first screw having the head thereof constrained to said friction body (10, 11) and the shaft (17") passing through a first opening of said plate and engaged in a first threaded hole of said counterplate; said longitudinal tooth (6, 9) of the anchoring cavity (5, 8) of said section bar (2', 3') being interposed between said counterplate and a resting wall (10', 11') of said friction body (10, 11); said first screw holding said counterplate rigidly fastened to said friction body (10, 11), said section bar (2', 3') being interposed therebetween; the engagement portion of said counterplate having a tilted wall (16") and said first screw pressing the above-mentioned tilted wall (16") of said counterplate in abutment against the longitudinal tooth (6, 9) of the anchoring cavity (5, 8) of said section bar (2',3') and the resting wall (10',11') of said friction body (10, 11), in abutment against an outer front face of said section bar (2', 3'), said outer front face being opposite an inner face of said section bar (2',3') from which said longitudinal tooth (6,9) extends. - a first friction body susceptible of being held on said fixed frame through first fastening means mechanically engaged to the first anchoring cavity of said first section bar and rigidly fastened to said first friction body; - a second friction body pivotably mechanically coupled to said first friction body and susceptible of being fastened to said movable leaf through second fastening means mechanically engaged to the second anchoring cavity of said second section bar and rigidly fastened to said second friction body; - a plate fastened to the respective inner or outer side (4, 7) of the corresponding first and second section bar (2', 3'); - and a counterplate provided with an engagement portion engaged by shape interference within the first or the second anchoring cavity (5, 8) of the corresponding first or second section bar (2', 3') beneath said plate and fastened to the corresponding first or second friction body (10, 11) through at least a first screw having the head thereof constrained to said friction body (10, 11) and the shaft (17") passing through a first opening of said plate and engaged in a first threaded hole of said counterplate;