The good cheer did not extend to the pound which was on the skids as the British government sent a letter to Brussels formally starting the country's exit from the European Union.
MSCI's broadest index of Asia-Pacific shares outside Japan .MIAPJ0000PUS edged up 0.2 percent and back toward recent 21-month peaks. Australia's main index climbed 0.8 percent to its highest since mid-2015, Reuters reported.
Japan's Nikkei .N225 added 0.1 percent, having climbed over 1 percent the previous day.
The Dow snapped an eight-day losing streak, its longest run of losses since 2011, in part as a survey showed consumer confidence surged to a more than 16-year high.
"Economic fundamentals still remain exceedingly sound here in 2017 and you do not need Trump’s pro-growth fiscal agenda for this to be one of the best years for growth since the recovery started," argued Tom Porcelli, chief U.S. economist at RBC Capital Markets.
"We still think tax reform happens, but you are better off thinking about the timing as an end of year event at best."
The Dow .DJI ended Tuesday up 0.73 percent, while the S&P 500 .SPX gained 0.73 percent and the Nasdaq .IXIC 0.6 percent.
The dollar bounced from 4-month lows as a top Federal Reserve official talked of more rate hikes to come while political uncertainties surrounding Britain's exit from the EU pressured European currencies.
Fed Vice Chairman Stanley Fischer, one of the more influential policymakers with markets, said two more rate increases this year seemed "about right".
B-DAY
The pound shed a further 0.3 percent to $1.2414 GBP= after British Prime Minister Theresa May signed a letter notifying the EU of Britain's intention to leave the bloc.
The Brexit letter is due to be delivered to Brussels later on Wednesday, triggering years of uncertain negotiations that will test the endurance of the European Union.
That came a day after the Scottish Parliament voted in favor of a second independence referendum that would break up the UK.
The euro pulled back to $1.0820 EUR=, while the dollar bounced to 111.24 yen JPY=. Against a basket of currencies, the dollar was steady around 99.685 .DXY.
The biggest loser overnight was the South African rand which has lost almost five percent in two sessions on speculation well-respected Finance Minister Pravin Gordhan might lose his job.
In commodity markets, base metal prices bounced on more upbeat economic news from China with copper CMCU3 gaining 2 percent overnight.
Oil prices gained after a severe disruption to Libyan oil supplies and as officials suggested the Organization of the Petroleum Exporting Countries and other producers could extend output cuts to the end of the year.
U.S. crude CLc1 added 17 cents to $48.54 a barrel, while Brent LCOc1 rose 12 cents to $51.45.
Spot gold XAU= was 0.3 percent softer at $1,247.90 an ounce.