The Al-Sharq daily said the Muslim migrant, whose nationality was not stated, works as a barber in the Gulf state.
He was arrested after a man reported him to police for allegedly harrassing his maid by plying her with visiting cards with his phone number on them.
Police raided the barber's shop to question him over the claims but found him drunk on the premises.
The court also ordered the man to pay a fine of around 100 euros for being disorderly and disturbing the peace.
Non-Muslims may drink alcohol, which is banned in Qatar other than in hotels, but they require a special permit to do so.