The invention relates to a safety needle device, particularly for the puncture of a port implanted subcutaneously in a human or animal body, comprising a first housing; a hollow needle, wherein the needle has a first sub-section and a second sub-section, and the first sub-section extends along a puncture axis, which runs at a right angle to the surface of the human or animal body, and the second sub-section of the needle being arranged at a right angle to the first sub-section, substantially parallel to the surface of the human or animal body, wherein the hollow needle is or can be connected to the first housing, particularly in the region of the second sub-section; a cover comprising a through-hole for receiving the first sub-section of the needle, wherein the cover can be moved from a first position into a second position relative to the first housing, wherein the movement occurs substantially along the puncture axis; and an at least partially flexible limiting element for limiting the relative movement between the first housing and the cover in the second position; wherein the device is characterized in that the cover has, on the surface facing away from the human or animal body, a guide sleeve for the first sub-section of the needle.