Bible Verse Memorization is one of the most important things you can do as a Christian. First it helps store away Gods truths into your heart so you know how to live. Second it is essential for evangelism because only Gods word has the power to convert a soul.
If you are like most and have trouble with memorizing there is a great web site that will aid in your quest. www.biblememory.us is a web site that once you sign up will send you a succession of emails the first containing the verse to memorize that will require you to retype the whole verse. Then rest of the emails will have random blanks to fill in. you can see a demo here.
I signed up for the "Evangelism explosion" program and it has greatly increased my memorization.