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Jennifer Lopez Puts J-Bod on A-Rod ... at VMAs After-Party

Jennifer Lopez and Alex Rodriguez continued their PDA-fest after the MTV VMAs ... dancing on each other at a NY hot spot and TMZ Sports has the video!

J Lo was honored with the Michael Jackson Video Vanguard Award at the show -- one of the biggest moments of the night.

Lopez performed a medley of hits including "Ain't It Funny" and "I'm Real" with Ja Rule -- while A-Rod watched gleefully from the crowd.

In fact, there was a hilarious gif of Alex's face lighting up as he watched J Lo twerk her ass off during the performance.

Same ARod, same. #VMAs pic.twitter.com/JKeZQlfHOf

After the show, the couple hit up Beauty and Essex in New York City -- where they continued to dance the night away together while the DJ played some of Jen's hits ... along with other hip-hop classics.

Lopez even rapped along to a Cardi B song while the crowd cheered her on.

Winning the MJ Video Vanguard Award is a big deal -- J Lo now joins an elite group with the likes of David Bowie, Justin Timberlake, Beyonce, Rihanna, Janet Jackson and more.

Jenny arrived to the show with her two kids -- but put them to bed before she hit the after-party.

Hey, mama's gotta let loose!

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