Harry Styles and Zoë Kravitz seem stuck together … ’cause they didn’t break up their contact while snaking their way down a New York City sidewalk.

The singer and the actress were spotted on a stroll in the Big Apple on Friday … walking arm-in-arm down the street before switching to hold hands.

The two pass a woman … and that’s when Harry pull his arm up and wraps it around Zoë’s shoulder while she holds his hand — a smooth move, if we do say so.

We shared photos of the two walking arm-in-arm on a dinner excursion just days ago … totally beaming in the snaps.

Of course, this ain’t a long-term relationship — at least not yet — with our sources revealing the two are just hooking up and having fun … nothing serious at this point.