A belt tensioning device comprises: a base member(3); a first tensioning arm(4), which is pivotably supported by a bearing sleeve(29) on the base member(3) around a first pivot axis(A4) and which comprises a first tensioning roller(5), wherein the bearing sleeve(29) is configured radially elastically and is connected to one of the components, the base member(3) and the first tensioning arm(4) in arotationally fixed manner, and which is rotatable relative to the other of the components, the base member(3) and the tensioning arm a second tensioning arm(6), which is pivotably supported on the base member(3) around a second pivot axis(A6) and comprises a second tensioning roller(7); a spring(8) arrangement that pre-tensions the first tensioning arm(4) and the second tensioning arm(6) in circumferential direction relative to each other; pre-tensioning means(17,17'), which that are arranged radially between a circumferential face of the bearing sleeve(29 and a circumferential face of the component(3,4) connected to the bearing sleeve to exert a radial force in direction relative to the component(4,3) rotatable thereto.