Write the first letters of each word and try to repeat the
passage with only those (it helps to include punctuation and
capitalization as well). After you can read it using only the
first letters, start marking the letters out and repeating it in
spite of the gaps.
Start with the first word, then, adding one word at a time,
continually repeat the passage until you have come to its end and
are able to repeat the entire thing from memory.
Write and rewrite the passage, reading it aloud as you do so.
Look for recognizable patterns in the text such as alphabetical
ordering of words.
Identify exceptional features such as something inconsistent
with the general pattern or flow, or a peculiar wording or
spelling.
Love the content of the text and be able to apply it to your
present situation. Use a version of the Bible which appeals to you
personally and which is familiar. KJV is often easier to memorize
from because of its poetical style and the fact that it is often
quoted from--but many prefer a newer version. I like the NKJV.
Relate it to things which are already familiar, for example if
your birthday is June 7 and you are memorizing Galatians 6:7...you
get the idea.
Memorize it 3 times! Having about a week between sessions is
best--a minimum of three days between is essential.
Remember it and/or repeat it to others on appropriate
occasions. If you don't use it, you lose it!
Use as many of your five senses as possible while learning-read, write, say, hear, walk or pace while you speak it aloud!
ASK THE HOLY SPIRIT TO HELP YOU. I have found it especially helpful to have an attitude of wanting to learn scripture in order to bless others.
"Thy word have I hid in mine heart, that I might not sin against
thee." Psalm 119:11 KJV
"O how love I thy law! it is my meditation all the day. Thou
through thy commandments hast made me wiser than mine enemies: for
they are ever with me. I have more understanding than all my
teachers: for thy testimonies are my meditation. I understand more
than the ancients, because I keep thy precepts." Psalm 119:97-100
"Great peace have they which love thy law: and nothing shall offend
them." Psalm 119:165