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. Backgrid

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.

Regardless, the two never break contact ... though given the amount of time they've spent together, it's not shocking that they're well-practiced at keeping each other close in NYC.

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

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