Allah Almighty has entrusted parents with their children. Parents bear the responsibility to raise up their children in the Islamic way. If they do that they will be blessed in this life and in the Hereafter, and if they don't, they will get bad result during their life and in the Hereafter.
That is why Islam has ordered parents to take care of their children and to bring them up according to the Islamic manners.

Men and women, fathers and mothers share the responsibility to raise up, educate, and build the new generation in the correct method and the right way. Man has in him the good and bad tendencies, so parents must encourage and grow the good tendencies in the child so he can become a useful person that helps himself and his people. Referring to this, Allah Almighty says: "O' you who believe, protect yourselves and your families from a fire whose fuel is men and stones." (At-Tahreem: 6)

There are 7 general guidelines/tips to raise our children Islamically.

1- Showing the values of good deeds and their effects on the individuals and society; also showing the effects of bad deeds, all within the child's capability of understanding.

2- Parents should be a good example in their behavior because children like to imitate their parents in their sayings and their deeds.

3- Teaching the child the religious principles and tutoring him in worship, taking into account the child's capability of understanding. The Prophet (peace and blessings be upon him) is reported to have said: “Order your children to pray at the age of seven.”

4- Treating children nicely and kindly. The Prophet (peace and blessings be upon him) taught us that practically. When he was praying as an Imam with the people, his grandson Al-Hasan, son of his daughter Fatimah, may Allah be pleased with them rode his back while he was bowing. The Prophet, peace and blessings be upon him, lengthened his bow. When he finished his prayer, some attending Companions said, “You lengthened your bow?” Then the Prophet, peace and blessings be upon him, answered, “My grandson rode my back and I hate hastening him”

5- One of the important things that parents must teach their children is to choose the good company and to the avoid the bad one, because children are always influenced by the company they keep. The bad behavior can be easily transmitted through bad company. So the Prophet, peace and blessings be upon him, warned us by saying, “Man is inclined to get influenced by his friend's manners, so one must be careful in choosing friends.” (Reported by Abu Dawud & At-Tirmidhi)

6- Encouraging the child's sense of belonging to the Muslim Ummah, by teaching him of the brotherhood between Muslims, teaching him to care for Muslims in any land, and that he is part of the Muslim body, to feel joy when Muslims are joyous, to feel sad for Muslims' sadness, and to do best to achieve the Muslim Ummah’s goals.

7- Imbuing in children the feeling of love of Allah, His Prophet, Muslims, and all people. This love will lead to special behavior towards all those loved.

Source: Islamonline.net