"We have to look at a preventative solution. We don't want to do this every spring," Julia Long of the National Park Service said.
Trappers nabbed the beaver Monday just before midnight. He is thought to be the last of a trio of beavers that had been chowing down on the famous cherry trees that surround the Tidal Basin near the Jefferson Memorial.
Trapper John Adcock Junior said "Big Daddy" is believed to be the mate of the female -- and the father of the young beaver -- both caught over the weekend.
The first beaver was caught Saturday and the second trapped Sunday, reports CBS Morning News Co-Anchor Cynthia Bowers.
All three have been moved to another location by park rangers.
But it's unlikely the National Park Service has found a permanent solution to the pesky problem.
Beavers have been spotted in the tidal basin near the memorial since 1982. The improved health of the Potomac and Anacostia Rivers is the chief reason wildlife is moving into the city, officials said.
They say other animals, including foxes, deer, heron, ospreys and bald eagles, are frequently spotted around the two waterways.
The Park Service says the now-famous beaver family's new home is a secret. Long explained, "They've received a lot of attention, and they've gone through a lot of changes. They need some peace and quiet."