I'm originally from the USA. My wife is from a country in Central America. We are married and happily live in a Muslim nation far from both of our native homes and differing cultures. We are followers of Jesus the Christ the Messiah and know Him as Lord. The only Biblical restriction placed on whom a Christian can marry is whether the other person is a member of the Body of Christ.
Question: "What does the Bible say about interracial marriage?"
Answer: The Old Testament law commanded the Israelites not to engage in interracial marriage (Deuteronomy 7:3-4). The reason for this is that the Israelites would be led astray from God if they intermarried with idol worshippers, pagans, or heathens. A similar principle is laid out in the New Testament, but at a much different level: “Do not be yoked together with unbelievers. For what do righteousness and wickedness have in common? Or what fellowship can light have with darkness?” (2 Corinthians 6:14). Just as the Israelites (believers in the one true God) were commanded not to marry nonbelievers, so Christians (believers in the one true God) are commanded not to marry unbelievers. To answer this question specifically, no, the Bible does not say that interracial marriage is wrong.
A person should be judged by his or her character, not by skin color. All of us should be careful not to show favoritism to some, nor be prejudiced or racial to others (James 2:1-10, see especially verses 1 and 9). A Christian man or woman's standard for selecting a mate should always be to find out if the person they are interested in is a Christian (2 Corinthians 6:14), someone who is born again by faith in Jesus Christ (John 3:3-5). Faith in Christ, not skin color, is the Biblical standard for choosing a spouse. Interracial marriage is not a matter of right or wrong, but of wisdom, discernment, and prayer.
The only reason interracial marriage should be considered carefully is because of the difficulties a mixed-race couple may experience because others will have a hard time accepting them. Many interracial couples experience discrimination and ridicule, sometimes even from their own families. Some interracial couples experience difficulties when their children have skin tones of different shades from the parents and/or siblings. An interracial couple needs to take these things into consideration and be prepared for them, should they decide to marry. Again, though, the only Biblical restriction placed on whom a Christian can marry is whether the other person is a member of the Body of Christ.