The Nikkei rose 3% after the dollar broke an essential level vs. the Yen.
In Hong Kong, the Hang Seng adds 155 points, or 0.6%, to 24,284.04, while in China the Shanghai Composite gains 11 points, or 0.3%, to 3375.41.
Shares fall in the wake of telecom restructuring plans and a deadly aftershock from China's earthquake.
Traders say Sunday's deadly aftershock will dampen sentiment on Chinese bourses.
Most markets elsewhere in Asia were higher.
According to a report, trading will be suspended Tuesday in 45 companies.
Negative Chinese and Japanese data did not hold markets down as oil fell.
The selling hit petrochemical, momentum and rate-sensitive plays.
Airlines bucked the generally negative tone in the continent's exchanges.
After the recent rally in Asian markets, it appears to be time for investors to rebalance their portfolios.