The Tokyo stock exchange, which was closed on Monday, opened the first trading day after the weekend's election with rising prices. The Nikkei 225 index had risen 0.2 percent by lunchtime, while the broader Topix index had increased 0.1 percent.
The increase occurs in a politically turbulent Japan since Prime Minister Shigeru Ishiba announced that he will remain, despite his government coalition losing its majority in the upper house in Sunday's election.
The Shenzhen composite index was up 0.4 percent, while the total in Shanghai was trading around zero.
Even the Hang Seng index in Hong Kong was moving sideways after a few hours of trading.
On Wall Street in the USA, both the broad S&P 500 and Nasdaq's composite index closed at new record levels on Monday. This week, the world's investors will keep an extra eye on the first quarterly reports from the American tech giants – with Google owner Alphabet and electric car manufacturer Tesla on Wednesday.