The burglary took place between 1am and 6am on Friday 23 January on Ladymass Road, Hadnall.
Entry to the garage of the property was gained by force, causing substantial damage.
The first bike is a KTM motorcross, orange in colour and made in 2012. There are stickers on the side, front and side panels of the bike displaying the number 64.
The second is a Kawasaki motor cross, green in colour and has stickers on the front and side panels displaying the number 891.
Both bikes are used to compete in races.
Investigating officer Emma Crowther said: “Anyone that was in the area of Hadnall and may have witnessed anything suspicious is urged to make contact with us as soon as possible. If anyone has seen these bikes for sale anywhere or knows of there whereabouts please call the Crime Bureau, Shrewsbury on 101 ext 2208 quoting the reference number 42 of 23 January.”
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