Market watchers also attributed the gains to greater optimism on the US-China trade outlook after Treasury Secretary Steven Mnuchin confirmed more talks would take place next month.
About 15 minutes into trading, the Dow Jones Industrial Average stood at 27,061.39, up 0.4 percent.
The broad-based S&P 500 rose 0.5 percent to 3,005.53, while the tech-rich Nasdaq Composite Index had also gained 0.5 percent at 8,150.91.
Among individual companies, Google parent Alphabet advanced one percent after the European Court of Justice ruled that the company is not required to apply an EU "right to be forgotten" to its search engine domains outside Europe.
Apple jumped 1.5 percent following a report from Jefferies that lifted the company's price target from $210 per share to $260.
The increase in markets came after US stocks finished flat on Monday.
After three straight weeks of gains, US equities fell last week amid worries over trade and jitters around the Federal Reserve's plans for stimulus.
Market watchers are awaiting release later Tuesday morning of the Conference Board's report on consumer confidence, which could provide clues as to whether increased worries of a recession will chill spending by shoppers.