Top scorer Scott Vernon was the hero when he drilled in his 14th goal of the season from five yards out.
Earlier the Latics had gone behind in the 37th minute.
Peterborough midfielder Tom Williams floated over a corner which fell to unmarked substitute Simon Rea six yards out and he comfortably headed in.
Oldham have now won only one of their last 10 games, a dismal run which has seen them plunge into desperate trouble at the wrong end of the table.
Brian Talbot's six match reign has now seen Oldham win one, lose one and draw the other four - and they still have to take maximum points at home while he has been in charge. Tweet
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Another dismal performance at home from a team that is in my opinion heading towards Division Three... they have the quality to comfortably survive relegation, but in all honesty if they have to rely on last gasp equalizers against other relegation candidates at home then the signs aren't good.