The defender put the ball past his own goalkeeper early in the second half, which means the Ligue 1 leaders will have to wait to retain their crown.
The defending champions went into the game knowing a win would secure a fourth French crown, but Laurent Blanc's men delivered a disappointing performance at the Stade Auguste Bonal.
PSG looked to be heading toward victory and the championship when Edinson Cavani gave it the lead midway through the first half. But the capital club failed to build on that lead, and a determined Sochaux drew level when Silva put through his own net early in the second period.
Yohann Pele was superb throughout in the Sochaux goal, routinely denying the visitors to preserve a precious point as they fight relegation.
Blanc's side still leads second-placed Monaco by eight points at the summit and will secure the title if it beats Rennes or the principality club cannot beat Guingamp next round.
PSG made a bright start to proceedings and came close to opening the scoring in the early stages as Yohan Cabaye saw a header cleared off the line by Julien Faussurier.
The visitors continued to create the better chances in a high-tempo first half, with only more heroics from Sochaux keeping the scores level.
First Cavani forced Pele into a spectacular stop with a curling effort from distance, before Faussurier saved the day again from the resulting corner as he kept out Lucas Moura's far-post header.
But the deadlock was finally broken by Cavani in the 25th minute, with the Uruguay international displaying superb technique to control Thiago Motta's exquisite ball over the top and volley into the bottom corner.
Blanc's men then spurned a clear opportunity to double their lead when Ezequiel Lavezzi volleyed over the bar after pouncing on some sloppy Sochaux defending.
Herve Renard's side rarely threatened the PSG goal during the opening period, but they should have drawn level on the stroke of halftime, only for Salvatore Sirigu to keep out Sebastien Roudet's close-range effort.
Just more than 10 minutes into the second half Sochaux did level, though, Sirigu palming Florian Marange's deflected left-wing cross off Silva and into the net after Sebastien Corchia had gone close for the hosts.
PSG almost restored its advantage five minutes later, Cavani working his way into the box only to be thwarted by another fine stop from Pele, who then denied substitute Marco Verratti from point-blank range.
Both teams pressed to try and find a winner in the closing stages but were left to settle for a point that moves Sochaux within four of safety - though time is running out for them - and keeps PSG's title party on hold.