Praise be to Allah.
If your husband does not pray, then it is not permissible for you to stay married to him or to let him be intimate with you. That could be a means of guiding him, but you have to stay away from him because of his not praying. As for the ways by means of which you can try to guide him, there are many such ways, such as bringing home some tapes which speak of matters that are of concern to him, such as reminders of how quickly this life passes, the transient nature of this world, its insignificance, the dangers of following one’s whims and desires and how that leads to a bad end, reminders of death, the resurrection, Paradise and Hell, the blessings of obeying Allaah, the bad consequences of disobeying Him, the peace of mind that comes from obeying Allaah, and the sense of alienation felt by sinners. You could also put him in touch with some daa’iyahs and good people and the imaam of a mosque, and let them visit him, and try to get him to make friends with some righteous people who can help him and encourage him to do good, and explain to him the dangers of keeping company with bad people, etc.