Cylinder assembly with rotating winged latch bolt for sliding door lockset includes a special latch bolt that holds in an extended position and holds in a retracted position which alternates back and forth by pressing the latch bolt with your finger. The special latch bolt rotates ninety degrees by turning the doorknob, door handle, thumb turn, or coin turn and rotates back ninety degrees by turning the doorknob, door handle, thumb turn, or coin turn back. The special latch bolt has a special winged shape that catches within the strike plate when rotated ninety degrees and releases from the strike plate when rotated ninety degrees back. Also there is a special face plate or cylinder face plate with tabs or notches that serve as a two-position mechanical stop to prevent the latch bolt from over rotating beyond ninety degrees in either direction.