Japan's Nikkei 225 fell nearly 1 percent to 21,290.24 while the Topix index was down 0.84 percent at 1,592.07. The Kospi index in South Korea retraced some of its earlier losses and declined 0.41 percent to 2,148.41 while Hong Kong's Hang Seng index slipped 0.52 percent.
Mainland Chinese shares were also lower. The Shanghai composite was down 1.09 percent at 3,026.95 while the Shenzhen composite fell 2.31 percent.
In Australia, the ASX 200 dropped 0.22 percent to 6,161.20 as some of the sectors turned positive before market close. The energy sector fell 0.88 percent as oil stocks struggled for gains.
That was despite a small uptick in overnight oil prices after a Saudi official said the kingdom plans to cut its crude oil exports in April to below 7 million barrels per day as it seeks to drain a global supply glut.
Oil prices continued their upward trend on Wednesday during Asian hours. U.S. crude rose 0.7 percent to $57.27 a barrel while international benchmark Brent was up 0.46 percent at $66.98 at 3:29 p.m. HK/SIN.
Consumer sentiment in Australia deteriorated in March, falling to its lowest level since September 2017, according to a report issued by Westpac Bank and the Melbourne Institute. Respondents were said to have been reacting to a slowdown in Australian economic growth in the second half of last year.