The Dow Jones Industrial Average was down 1.58 points, or 0.01 percent, to 25,320.73. The S&P 500 was up 4.85 points, or 0.17 percent, to 2,786.85. The Nasdaq Composite Index was up 43.87 points, or 0.57 percent, to 7,703.79.
Kim and Trump signed a joint statement after their meeting, the first between incumbent leaders of the two countries.
In the joint statement, Trump committed to providing security guarantees to the DPRK, while Kim reaffirmed his firm and unwavering commitment to complete denuclearization of the Korean Peninsula.
On the economic front, the Consumer Price Index for All Urban Consumers increased 0.2 percent in May on a seasonally adjusted basis after rising 0.2 percent in April, the Labor Department said on Tuesday.
The index for all items less food and energy, or the Core CPI, rose 0.2 percent in May. This brings the year-on-year increase in the index to 2.2 percent, according to the department.