An optoelectronic semiconductor component comprising a connection carrier with a mounting face and an electrically insulating base member. An optoelectronic semiconductor chip is arranged on the mounting face of the connection carrier. A radiation-transmissive body having four side faces is provided. The radiation-transmissive body surrounds the semiconductor chip in such a way that the radiation-transmissive body envelops outer faces of the optoelectronic semiconductor chip not facing the connection carrier in form-fitting manner. The radiation-transmissive body comprises at least one side face which extends at least in places at an angle of between 60° and 70° to the mounting face. The base member has a thickness which amounts to at most 250 μm.