The Dow Jones Industrials jumped 62.08 points to 42,016.32.
The much-broader index improved 41.94 points to 5,737.88.
The NASDAQ Composite hiked 211.38 points, or 1.2%, to 18,135.28.
Technology shares powered higher Tuesday, with Nvidia gaining 4% and Apple last up more than 1%. Meta Platforms, Tesla and Microsoft rose at least 1% each.
Stocks have been volatile this month as fears of an escalating conflict in the Middle East mount. The S&P 500 is off by a little more than 1.1% in October following a 2% gain in September. Stocks are also coming off a rocky session that saw all three major averages finish lower.
Prices for the 10-year Treasury dropped, making yields jump to 4.03% from Monday’s 4.02%. Treasury prices and yields move in opposite directions.
Oil prices dipped $3.48 to $73.66 U.S. a barrel.
Gold prices stumbled $31.70 to $2,634.10 U.S. an ounce