Jarnal alias Raja lives in slums near Hauz Khas and used to wash utensils at the restaurants and pubs located there.
He hadn't come to his house for two days after the incident but was nabbed once he returned home on the intervening night of February 20 and 21, police said.
The victim's iPhone and Rs 450 were recovered from the accused, who had also been hit on his head by the victim.
The incident happened on the night of February 18 when the woman was returning from a party in Hauz Khas village along with her friends and cousins.
He apparently told her that his vehicle was parked at some distance near the park. The accused, thereafter, on the pretext of guiding the woman, led her to an isolated stretch in the adjoining park area and allegedly raped her.