A Baby Dedication is a ceremony in which believing parents, and sometimes entire families, make a commitment before the Lord to submit a child to God's will and to raise that child according to God's Word and God's ways.
Christian parents who dedicate a child are making a promise to the Lord to do everything within their power to raise the child in a godly way, prayerfully until he or she can make a decision on his or her own to follow God. Parents who make this vow of commitment are instructed to raise the child in the ways of God, and not according to their own ways. Some of the responsibilities include teaching and training the child in God's Word, demonstrating an example of godliness, disciplining according to God's ways, and praying earnestly for the child.
The act of dedication is given to us in 1 Samuel Chapter 1:
And she made this vow: “O Lord of Heaven’s Armies, if you will look upon my sorrow and answer my prayer and give me a son, then I will give him back to you. He will be yours for his entire lifetime. - 1 Samuel 1:11a