Winless on the road in the top flight since promotion, Venezia arrived at the Allianz Stadium with the league's worst away defense and just five goals on the road, facing an in-form Juventus fresh from a 2-0 win over Manchester City in the UEFA Champions League.
Unsurprisingly, the Bianconeri started well and broke through in the opening 20 minutes, when Federico Gatti converted Khephren Thuram's header from a corner and tapped it home at the far post.
Juve then fell back as Venezia grew into the match, with Magnus Kofod Andersen rattling the crossbar with a stunning half-volley past a diving Michele Di Gregorio.
Despite their pressure, the Lagunari lacked the quality to break the division's tightest backlines, leaving them behind at half-time for the second time in six away games.
The second period started with drama as Kenan Yildiz's towering header was disallowed for a handball in the build-up, followed by Thuram's long-range effort that went just wide.
Venezia took their chance to respond, with Mikael Egill Ellertsson rising to meet Francesco Zampano's first cross and expertly nodding home to level the match as the score went.
Motta responded with two attacking substitutions in a desperate bid to regain the lead, but it was the visitors who silenced the home crowd with a stunning turn.
Hans Nicolussi Caviglia's sharp free-kick found Jay Idzes, whose glancing header curled into the far corner, and put Venezia on the brink of a famous victory.
The Bianconeri had other ideas, however, as Antonio Candela's handball gave Vlahovic the chance to convert a late penalty in stoppage time, which he rolled into the bottom left corner to save Juve's skin and extend their unbeaten streak to 11 games in all competitions. .
Venezia, meanwhile, remain rooted to the foot of the table after being denied victory at the death for the second week in a row.
Flashscore Man of the Match: Mikael Egill Ellertsson (Venezia)
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