Folded digital camera comprising a lens having a lens optical axis, an image sensor and first and second optical path folding elements (OPFEs), in which the second OPFE is closest to the image sensor, wherein the lens is operative to move in a first direction substantially parallel to the lens optical axis and in a second direction substantially perpendicular to first and second optical paths, wherein the second OPFE is operative to move in the first direction, and wherein the combined motion of the lens and of the second OPFE is operative to provide focus and to compensate for tilts of the camera around the first and second directions.