To memorize the Qur'aan remember these tips.
Be persistent
Always review what you have memorized
When you memorize, break down the longer Verses into chunks of 3-5 words.
Knowing Arabic helps because when you know the language you don't have to memorize the word structure as you already know them
If you do not know Arabic than you may want to break the longer Verses down into 2-3 word chunks because each word will have several letters the order of which you will not be accustomed to
Memorize between 1/2 to 1 page.
Next day revise the page and memorize the next page
The next day revise the last two pages and memorize the third page.
Continue to do this until you finish the Juz
Do not move onto the next Juz until this Juz flows on your tongue like water
Learn about spaced repetition and use that to help you if you are short on time.
Remember the following hadiith
Narrated by al-Bukhaari from Ibn ‘Umar (may Allaah be pleased with him), that the Messenger of Allaah (sallallaahu alayhi wa sallam) said: “The likeness of the one who memorizes the Qur’aan is that of the owner of a hobbled camel. If he tends to it regularly, he will keep it, but if he lets it go, he will lose it.” (al-Bukhaari, 5031).
Do not be discouraged if you forget what you memorized. And never give up. It took me 10 years to memorize the Qur'aan.
Also keep the same copy of the Qur'aan. If you use a 16 line Qur'aan, always use the 16 line Qur'aan to review. If you use a 9 line Qur'aan then always use a 9 line Qur'aan to review.