This was a top of the table clash against a team struggling at the bottom of the Football League with Shrewsbury seen as clear favourites for this game as they looked to enhance their promotion bid with the hosts looking to stave off the threat of relegation.
Tranmere threatened Shrewsbury from the off and their big break eventually came on 29 minutes when Marc Laird slid a pass through to the feet of on loan Swansea striker Rory Donnelly to coolly place into the bottom corner.
Tranmere gained momentum from this goal and 3 minutes later Danny Holmes challenged one of the Shrewsbury defenders before rifling a shot past Jason Leutwiler.
Jennison Myrie Williams nearly curled in a third for the hosts but the head of Scott Vernon deflected onto the post and out.
Shrewsbury came out for the second half as the brighter side when James Collins’ attempt was flicked over the bar by Owain Fon Williams before Max Power had his free kick tipped over the goal by Shrewsbury Goalkeeper Leutwiler.
Play was then delayed for the best part of 10 minutes when Kayode Odajeyi collided with Mickey Demetriou with the latter being taken to hospital for a CT scan before being released later that day.
Shrewsbury then pulled a goal back when Connor Goldson headed home from a Bobby Grant corner.
Tyrone Barnett then missed a volley from 12 yards out before James Collins tried to slam dunk the ball into the net but instead hit bar which went unnoticed by the officials.
Tranmere held on the record their first win in four games whilst Shrewsbury fell from tops spot in the League with what could prove to be a vital result for both sides.