Japanese and Hong Kong shares were up more than 1 percent on Thursday, taking their cues from the Dow Jones industrial average shooting past 20,000 after a volley of executive orders by President Donald Trump.
Japan's Nikkei 225 climbed 1.81 percent or 344.9 points at 19,402.39, extending Wednesday's rally of 1.43 percent. The benchmark index's top performer was semiconductor manufacturer Tokyo Electron, which was up 5.69 percent to 11,985 yen per share.
Markets in Australia, India, Taiwan and Vietnam are closed for bank holidays.
The new president cleared the way for two controversial pipelines on Tuesday, making it easier for TransCanada to build the Keystone XL pipeline and for Energy Transfer Partners to build the final portion of the Dakota Access pipeline.
Trump also signed executive orders on immigration on Wednesday, including one of border security and the intent to build a wall along the U.S. southern a border, and another to strengthen the enforcement of immigration laws.