The hackers have sent a link to her friends and fans, asking them to click on it.
Speaking to Sri Lanka Mirror, Menaka asked friends and fans not to follow the link sent by the hackers.
The hackers have also had a chat with actress Shalani Tharaka, leading to suspicion that they were Sri Lankans.
Prison terms for hackers
Recently, IT minister Harin Fernando said laws have been strengthened against internet crime.
According to him, facebook hackers could face terms of imprisonment up to three years.