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If you are Protestant, you have the following saying of Apostle Paul:
"If any brother has an unbelieving wife, and if she is content to live with him, he should not leave her. [Likewise,] the woman who has an unbelieving husband who is content to live with her should not leave her husband. This is because the unbelieving husband is sanctified in his wife, and the unbelieving wife is sanctified in her husband. Otherwise your children would be unclean, but in fact, they are holy. Yet, if the unbeliever decides to leave, let there be separation. The brother or sister is not under constraint b in such cases, but God has called us in peace. Truly, how do you know, wife, if you will save your husband? Or how do you know, husband, if you will save your wife?" (1 Cor. 7:12-16)
If you are Orthodox, you also have this saying by the Apostle, but in addition you have canon 72 of the 6th Ecumenical council:
"An orthodox man is not permitted to marry an heretical woman, nor an orthodox woman to be joined to an heretical man. But if anything of this kind appear to have been done by any [we require them] to consider the marriage null, and that the marriage be dissolved. For it is not fitting to mingle together what should not be mingled, nor is it right that the sheep be joined with the wolf, nor the lot of sinners with the portion of Christ. But if any one shall transgress the things which we have decreed let him be cut off.
But if any who up to this time are unbelievers and are not yet numbered in the flock of the orthodox have contracted lawful marriage between themselves, and if then, one choosing the right and coming to the light of truth and the other remaining still detained by the bond of error and not willing to behold with steady eye the divine rays, the unbelieving woman is pleased to cohabit with the believing man, or the unbelieving man with the believing woman, let them not be separated, according to the divine Apostle, "for the unbelieving husband is sanctified by the wife, and the unbelieving wife by her husband."