An optoelectronic semiconductor device may include a first and a second semiconductor layer having a first and a second conductivity type. The optoelectronic semiconductor device may include a first contact layer in direct contact with the first semiconductor layer, a first insulating layer formed over the semiconductor layers, and a second current spreading structure electrically connected to the second semiconductor layer. A maximum lateral extension of the second semiconductor layer is greater than a maximum lateral extension of the first semiconductor layer, such that a step structure is formed, and the first insulating layer is formed as a conformal layer over the step structure. A second insulating layer may be arranged between a horizontal surface of the first contact layer and the second current spreading structure. The thickness of the second insulating layer is smaller than the smallest thickness of the first insulating layer over the step structure.