The release took place in a wild, wetland area with fences to keep in the new arrivals, but with a pedestrian walkway across the site so visitors could spot them in their new habitat.
Their arrival was the first time wild beavers had lived in the area for 400 years.
Jim Goldsmith, countryside manager at Shrewsbury Town Council, said: “There has been a lot of hard work, patience and partnership behind this project.
“Seeing Beryl and Bertie settle in so successfully and now raise a kit shows just how powerful nature can be when we create the right conditions.”
Praising visitors for their consideration of the pair so far, the Trust added: “Members of the public using the boardwalk and woodland footpath adjoining the enclosure are urged to be quiet and considerate, making sure dogs are on-lead and kept under control.”