To manufacture rimless eyeglasses without soldering the parts and to make the assembling easy, a bridge and two joint pieces are provided by cutting or punching a piece of metal sheet into a required flat shape. The bridge comprises a crossbar having two pin-like extensions, two press-fitting extensions and two leg extensions integrally connected to the opposite ends of the crossbar. The pin-like extensions have saw-tooth indentations formed on their surfaces, and the leg extensions end with hooks for fixedly holding nose pads. Each joint piece has a pin-like extension with saw-tooth indentations formed on its surface and a press-fitting extension. Each lens has a through hole and a notch made on either side. Each through hole has a flanged sleeve press-fitted therein, and the pin-like extensions of the bridge and joint pieces are inserted into the flanged sleeves in the through holes of the lenses, and the press-fitting extensions of the bridge and joint pieces are inserted into the notches of the lenses.