Read the Bible to the children. Hearing the words will help them remember the verses. This is especially true for younger children who are not yet able to read. Ask older kids to look the Bible verses up and read them aloud to you or the younger children.
Talk about the stories you read together. Discuss the meaning of the Bible verses and how they specifically apply to your lives. Answer any questions the children may ask in a positive manner. Prepare ahead of time by reading the scripture yourself and meditating on its meaning before introducing it to the children.
Give each child his own Bible to keep and enjoy. Choose an illustrated children's Bible with colorful pictures for younger kids. Using an illustrated Bible will encourage kids to remember the verses by seeing the pictures as they become familiar with the stories.
Use handwriting practice as an opportunity to help kids memorize scripture. Even younger kids can do copy work. Choose a simple verse appropriate for the child's age. Tell him to copy one to three lines each day. Print a Bible coloring page with the verse to be memorized on it. The child can copy the verse then enjoy coloring the page when he is finished. Read the verse together then ask him to recite it back to you.
Set goals for how many verses the children should memorize within a set period. Post a chart with the names of the children on a wall. Each time the child successfully memorizes a Bible verse, place a sticker next to his name. Offer a small reward when a certain number of verses have been memorized. Motivate younger kids by offering a reward for each verse or even each week for a good effort. Repeat these simple activities often to get kids to memorize scripture.