After a swing of almost 1,200 points during the session, the Dow finished solidly higher, tacking on more than 500 points, or 2.3 percent from Monday's close, to 24,912.77.
U. S. stock index futures cut their early losses by half but Wall Street was still set to open lower on Wednesday, an nearly 2 percent gain in the previous session failing to calm the nerves following the Dow's biggest intraday fall on Monday. Within seconds, the Dow Jones industrial average was down more than 500 points.
All three of Wall Street's main indexes were on course for falls of between 0.2 percent and 0.4 percent, indicated by volatile premarket futures trading.
The sharp declines in recent days marked a pullback long-awaited by investors after the market minted record high after record high in a relatively calm ascent.
The U.S. stock market has climbed to record peaks since President Donald Trump's election, on the prospect of tax cuts, corporate deregulation and infrastructure spending, and it remains up 23.8 percent since his victory.
European shares rose around 0.7 percent, while Asian markets were mixed. USA crude CLcv1 fell 2.08 percent to $62.07 per barrel and Brent LCOcv1 was last at $66.12, down 1.11 percent on the day.
S&P 500 components are expected by analysts to grow their earnings per share in 2018 by 18.4 percent. And that U.S. fiscal stimulus in an economy at full employment also is fueling concerns that interest rates will start to rise to stem inflationary pressures.
"Now they are having to shift to an environment that looks like you'll have less central bank easing, rising inflation, rising interest rates and rising volatility". "New buyers are showing up, who were waiting for the prices to go down". The S&P 500 ended 6.2 percent below its January 26 peak.
"The mood on the floor is relief", said FTN Financial chief economist Chris Low, adding that the Dow's "violent" descent on Monday - at one point losing 700 points in a few minutes - would not soon be forgotten.
Investors also unloaded riskier corporate bonds during the Wall Street stock market rout.
Tuesday's rebound came a day after a steep selloff that brought the biggest percentage daily declines for the S&P 500 and the Dow since August 2011 and a near 1,600 point intraday loss for the Dow.
"Mixed in with that, higher bond yields could increase the attractiveness of bonds as an investment destination, some of which will be at the expense of equities". "There's kind of an emotional reversal that's going on".
The S&P 500 posted 1 new 52-week highs and 38 new lows; the Nasdaq Composite recorded 17 new highs and 164 new lows.