The invention relates to an underwater drilling arrangement and a method for making a bore in a bed of a lake, sea or river, having a service platform which can be lowered for positioning on the lake, sea or river bed, a guide tube which is mounted so that it can be rotated, axially moved as well as fixed on the service platform, a drill rod with drill head which is arranged in the guide tube and can be driven via a drill drive, and a guide tube drive which is arranged on the service platform for incorporation of the guide tube in the lake, sea or river bed. In order to reduce the friction which arises upon incorporation of the guide tube between the outer shell surface of the guide tube and the earth material of the lake, sea or river bed, the guide tube has a sliding support means.