Japan's Nikkei 225 was up 0.5%, South Korea's Kospi advanced 0.1% and China's Shanghai composite added 0.63%.
The dollar index, which measures the greenback against a basket of six other major currencies, rose to as high as 97.485 overnight, its highest level since April 2.
Stocks closed higher on Thursday as Wall Street digested more corporate earnings reports, solid retail data and two highly anticipated initial public offerings.
U.S. government debt prices rose on Thursday as U.S. retail sales data beat expectations.
European stocks edged higher as investors attempted to looked past weak euro zone data.
Gold held steady near a four-month low on Thursday as a stronger dollar offset concerns over global economic growth after the release of weak manufacturing data out of Europe.
A drop in crude shipments from top exporter Saudi Arabia and a draw in U.S. oil inventories supported prices on Thursday.
The U.S. dollar gained on Thursday on strong retail sales data, while the euro was dented by weak manufacturing data in the region.
Major Asia Pacific markets closed lower on Thursday, with Indonesia's benchmark index bucking the overall trend as stocks jumped on election hopes. Meanwhile, investors looked to signs of progress in U.S.-China trade talks.
Stocks struggled on Wednesday as sharp losses in the health-care sector offset strong quarterly earnings results.
U.S. government debt prices were mixed on Wednesday as investors kept their focus on a slew of corporate earnings for the first-quarter of this year.
European markets edged higher Wednesday, as first quarter earnings news continued.
Oil prices advanced for a second day on Wednesday on signs of strong demand from refineries in China, the world's second-largest crude user, amid tightening supply.
Gold eased on Wednesday, holding near the 2019 lows touched in the previous session, as economic growth data from China assuaged concerns about global growth and drove investors into riskier assets.
The greenback weakened on Wednesday as better-than-expected economic data in China bolstered risk appetite and boosted the Australian dollar.
China said earlier on Wednesday that its economy grew 6.4 percent in the first quarter of 2019.
The Dow Jones Industrial Average rose on Tuesday as the corporate earnings season kicked into full gear, while also getting a boost from Boeing shares.
U.S. government debt prices fell on Tuesday as solid corporate earnings results lifted investor risk sentiment.
European stocks closed higher on Tuesday, as investors monitored a fresh batch of corporate earnings and supportive economic data.
The euro fell against the dollar on Tuesday after reports that some European Central Bank policymakers think the banks economic projections are too optimistic.