Grant Holt scored the only goal of the game as Shrewsbury finally broke dogged Aldershot's resistance.
Holt struck with nine minutes remaining, glancing a header in off the far post from Ben Davies' cross.
The Shrews had already gone close in an entertaining game when Nikki Bull brilliantly tipped over Marc Tierney's long-range effort.
John Grant missed a good chance for the visitors 15 minutes from time when he side-footed wide of the post.
Shrewsbury: Daniels, Herd, Jackson, Langmead, Tierney, Davies (Ashton 89), Cansdell-Sherriff, Darren Moss, McIntyre, Holt, Walker (Hibbert 19). Subs Not Used: Garner, Pugh, Hindmarch.
Booked: Cansdell-Sherriff, Holt.
Goals: Holt 79.
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Booked: Charles, Soares.
Att: 5,422
Ref: Trevor Kettle (Rutland).
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