Tabloid claims about the 32-year-old suggested that she had shocked party-goers at Sir Elton John's post-Oscars celebration with her behaviour.
"Great night celebrating oscars and very successful week," Price wrote on Twitter. "Led astray so sore head! Apparently to The Sun this is evidence of my meltdown (sic)."
She added: "If I'm in meltdown so are most of the journos out here and half of LA! They can join me on my training run today and back on the wagon."
Price later retweeted a message from News of the World showbiz journalist Dan Wootton in which he stated that he had not suggested the former glamour model had "behaved inappropriately" and instead meant that she had had "a lot of fun" at the event.
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