A cross frame for a bicycle, such as an e-bike, includes a head tube and a seat tube with a bottom bracket area arranged at the lower end of the seat tube, a straight first tube starting from the head tube which crosses the seat tube and then extends towards a rear dropout of a rear triangle of the cross frame, a second tube starting from the head tube above the first tube which crosses the first tube at an intersection and then extends towards the bottom bracket area, and at least one chain stay extends from the bottom bracket area to the rear dropout. The second tube has an angular deflection within the plane of the frame in the section between the head tube and the intersection to create a visually appealing frame that offers high stability and torsional rigidity with minimal weight and allows for improved handling of a bicycle equipped with the frame.