You have quite a few responses here. One thing to keep in mind, is this:
If you are a Christian, and you are seeking advise about marrying a non-Christian, you should get your advise from other Christians, and if possible, your minister/priest. Non-Christians will tell you that there is nothing wrong with marrying somebody who believes differently than you do, and that is because they do not put any faith in what the bible says about inter-faith marriages.
Inter-faith marriages have been spoken of since the old testament. An inter-faith marriage, according to God's word, is a marriage between a person who believes in the one true God, Jehovah, and a person who worships either a. another god, or b. a wrongful version of Jehovah (ie: muslim faith believes in the God of Abraham, which is also our God, but they see Him differently than Jews and Christians do. they have also re-written and completely ignored God's laws)
Here are some scriptures for you to examine.
"Take care not to make a covenant with the inhabitants of the land to which you are going, or it will become a snare among you. You shall tear down their altars, break their pillars, and cut down their sacred poles...You shall not make a covenant with the inhabitants of the land...And you will take wives from among their daughters for your sons, and their daughters who prostitute themselves to their gods will make your sons also prostitute themselves to their gods." Exodus 34:12-16
Do not intermarry with them, giving your daughters to their sons or taking their daughters for your sons, for that would turn away your children from following me, to serve other gods. Then the anger of the Lord would be kindled against you, and he would destroy you quickly." Deuteronomy 7:3-4
"Shecaniah...addressed Ezra, saying, 'We have broken faith with our God and have married foreign women from the peoples of the land, but even now there is hope for Israel in spite of this. So now let us make a covenant with our God to send away all these wives and their children, according to the counsel of my lord and of those who tremble at the commandment of our God; and let it be done according to the law. They clave to their brethren, their nobles, and entered into a curse, and into an oath, to walk in God's law, which was given by Moses the servant of God, and to observe and do all the commandments of the LORD our Lord, and his judgments and his statutes; And that we would not give our daughters unto the people of the land, nor take their daughters for our sons." Ezra 10:2-3
Here you see that Ezra is distressed because the Israelites had intermarried with foreign tribes, who practiced another form of worship. The leaders and priests chose to forcibly divorce all inter-tribal (and thus inter-faith) marriages in Israel. In those days, religious unity was apparently considered more important than family values. Although there are many locations in the Bible where marrying women of other faiths was prohibited, this is the only location where existing inter-faith couples were ordered to divorce. The fate of the women and children who were sent away is unknown.
I'm sure that non-believers will spew rhetoric about how awful this is, and how could a just God could do this to women and children, etc. The response to that is that God commanded the Israelites not to marry into another faith, just as God commanded Adam and Eve not to eat of the forbidden fruit, and the people of Noah's time, not to commit fornication, or homosexual acts with one another. After each broken commandment in the bible, you will see a punishment for disobeying.
When Adam and Eve ate the forbidden fruit (which gave them the knowledge of good and evil), and then lied to God about it, they were removed from the garden of Eden. Humans were then made to toil and sweat to provide for themselves, and women were put through the painfulness of childbearing.
During Noah's time, when there was worshipping of false gods, rampant fornication, the sharing of spouses, homosexual acts, etc., God saw only one human who obeyed Him, among all of humanity. This was Noah, and because of that God saved Noah and Noah's family. The rest of civilization was destroyed.
In the book of Ezra, the priests and leaders knew well of the punishment that would come upon them if the sins against God continued. That is why they divorced all of the inter-faith marriage, and sent the mothers and children away.
You see, God takes inter-faith marriage VERY seriously. So should you. So should we all.
The sins continued over time, and to pay for the sins, burnt offerings upon alters were given to God. There was (and still is) so much sin, that there couldn't have been enough animals to lay on the alter, and sacrifice in order to cover our sins. So God, being a loving Creator, sent Himself (God is the Father, the Son, and the Holy Spirit) in the form of his Son, Jesus Christ, as a final blood sacrifice. In doing this, anybody who accepts Jesus as the Savior, will be forgiven of their sins, and their name will be written in the Book of Life. Upon Jesus return (which is not that far away, according to the signs in the book of Revelation), if your name is not written in the book of Life, it's because you have not accepted Jesus as your Savior.
The bible says that every knee will bow and every tongue confess that Jesus Christ is Lord. That means every belligerent knee and every hate spewing tongue will also confess that Jesus Christ is Lord. The difference is that after confessing, they will be told that God doesn't know them. Then they will be eternally separated from God, in a place where there will be weeping and gnashing of teeth. I don't want anybody here to go there. I'm sure you don't either.
But answer this:
Do you want your wife (after marrying her, loving her, spending your life with her) and your children (after watching them grow, sharing your love with them, and feeling so much for them that you would lay down your life for them) to be sent to that place? Do you want them to be where there is weeping and gnashing of teeth?
Think about that. You know how you get when it's so hot that you get a headache... and if you can't find a place to cool down, you'll begin to lose your temper? It happens to everyone. That's what gnashing of teeth means. Imagine being like that for all eternity, and seeing God, the one you rejected, and Jesus the Savior, the one who gave His all for you, just out of your reach. How painful that would be. Now, imagine that happening to those you love.
If that is not reason enough to keep you from marrying somebody outside of your faith, then I wish you well, and please let me know if this is the case, because I will be praying for you all the days of my life.
Some verses from the New Testament:
"The wife is bound by the law as long as her husband liveth; but if her husband be dead, she is at liberty to be married to whom she will; only in the Lord" 1 Corinthians 7:39
"Be ye not unequally yoked together with unbelievers: for what fellowship hath righteousness with unrighteousness? and what communion hath light with darkness? And what concord hath Christ with Belial? or what part hath he that believeth with an infidel?" 2 Corinthians 6:14-15
This verse is about Belial/Baal/Bal/Bel/Balder, Pagan gods from the Middle East and beyond that terroritory. Belial is translated satan or "evil one". Paul in this verse is showing a complete intolerance of non-Christian faith groups, and rightly so. He defines them as "satan worshipers", which they are. If you do not worship the one true God, then you worship the enemy who has many names and disguises. He is satan. There is no getting around it. Paul says that he sees Christians as the righteous, and the exhibiting light, and non-Christians as unrighteous, showing darkness.
Where there is no light, there is dark. That's easy to figure out, right?
Paul prohibits beyond marriage. He says it's sinful to even have a close bond or share close interpersonal activities with non-Christians. This is not just communicating, but having close, personal friendships, and marriages.
Some have tried to take this verse out of context, claiming that it was meant for something other than what it is. They are wrong. The bible is clear.
We are not to marry or have close personal relationships with non-Christians, and since the time of Creation, God has said that His children are not to marry persons who worship false gods.