The Labor Department data showed headline and core CPI in March rose 0.1% and 0.4%, respectively, on a month-on-month basis.
"We are finally starting to see the cumulative effects of the relentless rate hikes," said Peter Andersen, founder at Andersen Capital Management.
US inflation, Fed rates and marketsMinutes from the U.S. central bank's policy meeting in March will also be watched closely by investors later in the day for further clues on the trajectory of interest rates.
The Fed raised rates by 25 bps last month and signaled it was on the verge of pausing further rate hikes.
ET, Dow e-minis were up 220 points, or 0.65%, S&P 500 e-minis were up 33 points, or 0.80%, and Nasdaq 100 e-minis were up 130 points, or 0.99%.