Price, 31, and Alex Reid, 34, married Tuesday in the Wynn's Las Vegas Wedding Salon in a quick, but planned ceremony.
"They were scurrying around all day, shopping for rings and prepping for the wedding," a source told PEOPLE.
The couple arrived in Las Vegas Monday night and checked into a suite at Planet Hollywood Resort and Casino. Only three hours after touching down, the two applied for a marriage license, setting in motion Tuesday's nuptials.
Price, also known in the U.K. as Jordan, recently divorced British singer Peter Andre, with whom she costarred on the E! reality show Katie and Peter.
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