Stocks in Europe climbed by the most in a week Tuesday, getting a break after two back-to-back selloffs sparked by the U.K.'s Brexit vote.

In London on Tuesday, the FTSE 100 UKX, +2.64% tacked on 2.6% to end at 6,140.39, while the midcap FTSE 250 MCX, +3.58% added 3.6% to close at 15,503.06.

U.S. stocks on Tuesday rebounded to close higher as some of the initial shock over the U.K.'s decision to withdraw from the European Union receded. All 10 sectors in the S&P 500 closed higher, led by energy shares, while the tech-laden Nasdaq Composite had its best daily percentage gain since March 1. The S&P 500 SPX, +1.78% gained 36 points, or 1.8%, to close at 2,036 and the Dow Jones Industrial Average DJIA, +1.57% rose 270 points, or 1.6%, to finish at 17,410. The Nasdaq COMP, +2.12% rallied 97 points, or 2.1% to close at 4,692.

Asian share markets joined a global rebound on Wednesday as the immediate drag from the Brexit vote began to ebb and investors wagered central banks would ultimately ride to the rescue with more stimulus measures.

MSCI's broadest index of Asia-Pacific shares outside Japan rose 1 percent to recoup around a third of Friday's stinging loss. Japan's Nikkei climbed 1.4 percent, while Australian stocks added 0.8 percent.