Sabah CID chief Datuk Salehuddin Abdul Rahman said police had opened an investigation paper into the claims.
"We are investigating this matter under the Communications and Multimedia Act and other relevant laws," he said on Tuesday.
He said police was also asking the woman, who identified herself as Alice Lien Hua, to step forward and assist them in their investigations.
In her Facebook post, the woman who was said to be a karate exponent and former state athlete, claimed that the incident had taken place in Penampang and that she had beaten up the two culprits.
She added in another Facebook post on Monday that she had not gone to the police because she was afraid of being taken to court and sentenced to death.
"Alice" also said that if forced, she would leave the country.
Penampang police chief Deputy Supt Rosley Hobden earlier branded the news that went viral on a few blogs and online portals a few days ago as false.
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