An apparatus for continuously wrapping sweets or like products in a so-called double twist wrapper, comprising a rotary wheel which moves continuously about a horizontal axis, a plurality of handling devices having oscillating heads mounted to be radially slidable at a uniform spacing on the rotary wheel, with the axis of oscillation of the said oscillating head parallel to the axis of rotation of the rotary wheel, and means having gripper take up elements and hoe-shaped folding elements supported by the said head so as to oscillate about respective axes parallel to the axis of oscillation of the oscillating head and the axis of rotation of the said rotary wheel. The said handling device support wheel has provided coaxially rotatable therewith and on its opposite sides two wheels supporting a corresponding respective plurality of twisting devices in mirror symmetry on the opposite sides of the above-mentioned means having gripper take up elements and folding elements supported by the said head.