Jaden Smith -- Young Lovin' in the Streets (PHOTOS)

Jaden Smith's got himself an older woman, and he's showing her off all over NYC.

17-year-old Smith was out with his 19-year-old girlfriend Sarah Snyder in SoHo on Wednesday after attending a NYFW show. Snyder is a social media fashionista with a ton of followers.

Reports say the two have been together for a few months and judging by the pics, the youngins are getting pretty comfortable with each other.

We know what you're thinking ... age of consent in NY State is 17.

BTW -- if Sarah looks familiar -- it's because she was arrested in NY for allegedly stealing a $16,000 Hermes Birkin bag back in June.