The Permissibility of Marriage When the Religion Is the Same
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Question: What is the ruling in Islam regarding a man who does not pray and a woman who also does not pray? Is it permissible to contract their marriage?
Answer: If they do not pray, their marriage is valid, just like the marriages of other disbelievers. If Allah guides them and they establish the prayer and repent, they remain in their marriage; just as disbelievers remain in their marriages when they become Muslims. This is because the Prophet (peace and blessings be upon him) did not order those who became Muslims on the Day of the Conquest to renew their marriages.
Answer: If they do not pray, their marriage is valid, just like the marriages of other disbelievers. If Allah guides them and they establish the prayer and repent, they remain in their marriage; just as disbelievers remain in their marriages when they become Muslims. This is because the Prophet (peace and blessings be upon him) did not order those who became Muslims on the Day of the Conquest to renew their marriages.
Source
binbaz.org.sa
The Arabic text is copied verbatim from the original source, without any edits.