Solar cell module with at least one solar cell unit, wherein each solar cell unit comprises: - a support with a front side and a rear side, wherein the support has a first electrical connection and a second electrical connection and wherein the electrical energy generated by the solar cell unit is conducted away by the first connection and the second connection, - a plurality of solar cells arranged in rows on the front side of the support, wherein the solar cells have a front side, which is constructed as a receiving surface for light, with a front side contact and a rear side with a rear side contact, - a plurality of metallic strip conductor rails formed on the front side of the support respectively in the direction of the rows of the solar cells, wherein the strip conductor rails each have a plurality of contact surfaces of a first form, and the rear-side contacts of the solar cells are provided at the contact surfaces of the first form, and wherein the contact surfaces of the first form have a low-resistance connection with the rear-side contacts of the solar cells, - a plurality of electrically conductive connectors, wherein the front-side contacts of the solar cells arranged in a first row have a low-resistance connection with the rear-side contacts of the second row, which is arranged adjacent to the first row, of solar cells so that the first row and the second row form a series circuit, - a second form of contact surfaces is provided on the strip conductor rail, - the connectors are of staircase-shaped construction and the solar cells arranged in rows are so formed on the support that the solar cells are formed at two sides (21, 22) of the support up to an edge of the support so that a spacing of less than 1.0 millimetre is formed between the edge of the support and the solar cells, and the solar cells are spaced from the edge of the support along a third side of the support and the contact surfaces of the second form are formed at the third side on the edge surface free of solar cells, wherein the support has a substantially quadrilateral block-shaped form. - a support with a front side and a rear side, wherein the support has a first electrical connection and a second electrical connection and wherein the electrical energy generated by the solar cell unit is conducted away by the first connection and the second connection, - a plurality of solar cells arranged in rows on the front side of the support, wherein the solar cells have a front side, which is constructed as a receiving surface for light, with a front side contact and a rear side with a rear side contact, - a plurality of metallic strip conductor rails formed on the front side of the support respectively in the direction of the rows of the solar cells, wherein the strip conductor rails each have a plurality of contact surfaces of a first form, and the rear-side contacts of the solar cells are provided at the contact surfaces of the first form, and wherein the contact surfaces of the first form have a low-resistance connection with the rear-side contacts of the solar cells, - a plurality of electrically conductive connectors, wherein the front-side contacts of the solar cells arranged in a first row have a low-resistance connection with the rear-side contacts of the second row, which is arranged adjacent to the first row, of solar cells so that the first row and the second row form a series circuit, - a second form of contact surfaces is provided on the strip conductor rail, - the connectors are of staircase-shaped construction and the solar cells arranged in rows are so formed on the support that the solar cells are formed at two sides (21, 22) of the support up to an edge of the support so that a spacing of less than 1.0 millimetre is formed between the edge of the support and the solar cells, and the solar cells are spaced from the edge of the support along a third side of the support and the contact surfaces of the second form are formed at the third side on the edge surface free of solar cells, wherein the support has a substantially quadrilateral block-shaped form.