The Dow Jones Industrial Average rose 164.07 points, or 0.62 percent, to 26,828.47. The S&P 500 increased 11.90 points, or 0.36 percent, to 3,306.51. The Nasdaq Composite Index was up 38.37 points, or 0.35 percent, to 10,941.17.
Shares of U.S. energy giants Exxon Mobil and Chevron climbed 2.89 percent and 1.98 percent, respectively, contributing to the market gains.
Nine of the 11 primary S&P 500 sectors ended higher, with energy up 2.45 percent, outpacing the rest. Financials and health care, however, struggled.
Meanwhile, U.S.-listed Chinese companies traded mostly higher, with seven of the top 10 stocks by weight in the S&P U.S. Listed China 50 index ending the day on an upbeat note.
The moves came as investors eyed the ongoing negotiations in Washington on a U.S. COVID-19 relief bill.
The wrangle continued as U.S. lawmakers have not settled their differences over the size and scope of the relief bill.
More than 4.75 million confirmed COVID-19 cases have been reported in the United States, with over 156,000 deaths, as of Tuesday afternoon, according to a tally by Johns Hopkins University.
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