European stocks scored a third consecutive rise on Monday, extending gains after a stronger-than-expected U.S. jobs report and as investors assessed the possibility of more monetary easing by global central banks.

The Stoxx Europe 600 SXXP, +1.64% picked up 1.6% to end at 332.72, closing at the highest level since June 23, the day of the U.K.'s Brexit vote.

ThyssenKrupp's move helped propel Germany's DAX 30 index DAX, +2.12% up by 2.1% to 9,833.41.

The Stoxx 600 on Friday jumped 1.6%, leaping after the U.S. Labor Department said 287,000 new jobs were created in June, outstripping expectations of job growth of 170,000 forecast by economists polled by MarketWatch. The data soothed some concerns about growth in the U.S., the world's largest economy.

U.K. politics: Prime Minister David Cameron said he plans to formally turn in his previously announced resignation. That makes way for Home Secretary Theresa May to succeed him by Wednesday evening as the country's leader and head of the ruling Conservative Party after Andrea Leadsom dropped her bid to become the next prime minister.

The S&P 500 finished at a record high Monday as investors bought stocks amid a reinvigorated appetite for assets perceived as risky following a surprisingly strong jobs report last Friday.

The Dow Jones Industrial Average DJIA, +0.44% climbed 80.19 points, or 0.4%, to finish at 18,226.93, within a shouting distance of its record of 18,312.39 hit on May 19, 2015. The blue-chip gauge was led by a 1.5% rise in Boeing Co. BA, +1.50%

Meanwhile, the Nasdaq Composite Index COMP, +0.64% advanced 31.88 points, or 0.6%, to close at 4,988.64, after moving above the key 5,000 level during the day for the first time this year.

Asian stocks rose to a 2-1/2-month peak on Tuesday, a day after Wall Street shares hit a record high thanks to a combination of upbeat U.S. data and expectations of more stimulus from global policymakers.

Japan's Nikkei .N225 jumped 3.0 percent as investors bet the country's government may inject $100 billion in fiscal spending to boost the economy, possibly financed by the central bank's money-printing, a policy mix that is often dubbed "helicopter money".