The 225-issue Nikkei Stock Average added 1.48 percent, from Friday to close the day at 27,224.11.
The broader Topix index of all First Section issues on the Tokyo Stock Exchange, meanwhile, gained 1.28 percent to finish at 1,933.74, marking its sixth consecutive session of gains.
Markets here were closed on Monday for a national holiday.
Local brokers said investors sought out issues that had lost ground and could be snapped up on the cheap as well as energy-oriented issues as rising prices for crude oil show no signs of abating.
"There's momentum building as investors continue to buy back stocks, but there's also a sense of caution starting to emerge about the speed of the rally," a trader at a domestic securities firm was quoted as saying.
Among energy-linked issues closing markedly higher, exploration giant Inpex jumped 8.6 percent to become the Nikkei's biggest percentage gainer, while Mitsubishi Corp. was also a notable winner soaring 6.9 percent.
Fellow trading house Mitsui & Co., meanwhile, ended the day 6.3 percent higher.
The turnover on the first trading day of the week came to 3,426,17 billion yen (28.44 billion U.S. dollars).
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