U.S. stocks rose on Tuesday, with the Dow industrials closing above 15,000 for the first time.

Rising to a record intraday high of 15,056.67, the Dow industrialsDJIA +0.58%  climbed 87.31 points to 15,056.20, with 23 of its 30 components rising.

After closing at records the prior three sessions, the S&P 500 indexSPX +0.52% on Tuesday extended that run, rising 8.46 points to 1,625.96, with telecommunications and industrials leading the gains that included all but technology of its 10 basic sectors.