Bangladesh Cricket Board has suspended him from all forms of cricket until the charges are cleared.
Hossain submitted a bail petition before the court after his surrender, his lawyer Kazi Mohammad Nazibullah Hiru said.
The court sent him to jail after rejecting the bail plea, a court official said.
The couple went into hiding after the allegations surfaced last month.
The 29-year-old Hossain, who has played 38 tests and 51 one-day internationals for Bangladesh, last played a test against Pakistan this year but was then dropped due to injuries.