Praise and thank the Lord before presenting your request to Him.
Psalm 95:2
Psalm 100:4
Philippians 4:6

Be specific and ask for what you need.
Matthew 7:7-8
Matthew 21:22
John 16:24
James 4:2b

Pray in Jesus' name:
John 14:13-14
John 16:23

Prayer also includes you listening to God.
Numbers 9:8
1 Samuel 3:9-10
1 Kings 19:11-12

Pray in faith.
Matthew 21:21-22
Mark 11:24
Romans 4:21
Hebrews 11:6
James 1:5-7

Obey God and do His will.
John 9:31
John 15:7
1 John 3:22

Submit yourself to God and pray according to His will.
Psalm 143:10
Matthew 6:10
Luke 22:42
John 5:30
1 John 5:14

Pray humbly.
Daniel 9:18b
Luke 18:10-14
James 4:6

Remind God of His promises when praying.
Genesis 32:6-12
Nehemiah 1:4-11