Naznin Akter Happy filed a case against Rubel under the Women and Children Repression Prevention Act with Mirpur police on Saturday.
She alleged the pacer had promised to marry her and the two shared an intimate relation.
"We first got into touch through Facebook about a year ago. We've been having an intimate relation for nine months now," Happy claimed.
Happy says she was the protagonist of a recent Bangla movie and several of her other films are on the pipeline.
"Rubel got involved with another girl while talks about our marriage were underway. He avoided me each time I tried to talk about it," she alleged.
The cricketer could not be reached for comments.
Mirpur police OC Salahuddin claimed Happy frequented Rubel's apartment near the Commerce College.
He said police were trying to arrest Rubel.
Happy has been taken to police's Victim Support Centre after the complaint, said Mirpur Police Station SI Tanvir Hasan.
He said the actress will be subjected to forensic tests at Dhaka Medical College and Hospital on Sunday to check on her allegations.
Meanwhile, the Bangladesh Cricket Board (BCB) has come up with a cautious response.
BCB Chief Executive Officer Nizamuddin Chowdhury said the matter was sensitive.
"I have heard of the case and the allegations levelled. But I can only react when we have the case papers and a clear idea of what happened."
Chowdhury said the BCB will only respond once they had a clear picture.