The visitors, who were forced in to making three changes due to injuries, were 2-0 down inside eight minutes and crumbled at the Tottenham Hotspur Stadium.
Sean Dyche's side have now conceded 11 goals in their last three fixtures. Here's how Dan Black scored the performances.
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Andy Ritchie celebrates scoring.
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Pompey's only goal came from the penalty spot as did United's third courtesy of John Sheridan.
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A Neil Aspin goal earned the Whites the three points against The Shrews at Elland Road.
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The Whites were beaten for the third time against Oldham in less than a month.