The Nikkei index at the Tokyo Stock Exchange opened up 127.92 points at 8,733.54.

Tokyo financial markets were closed on Monday for a national holiday.

US stocks rallied sharply Monday after Germany and France pledged over the weekend to find a solid plan to address the eurozone debt crisis and shore up European banks within weeks.

The Dow Jones Industrial Average leaped 330.06 points or 2.97 percent to finish at 11,433.18.

"No specific measure (on Europe) has been spelled out yet, so the buying is mostly driven by expectations that various policies to resolve the European debt problem will be worked out," Yutaka Miura, a senior technical analyst at Mizuho Securities, told Dow Jones Newswires.

Miura also said that investors were closely watching the start of the third quarter corporate earnings reporting season in the United States, with Alcoa (AA) scheduled to release its results later in the day.