The King James Bible addresses prayer in several passages:
Matthew 6:9-13 (KJV)
9 After this manner therefore pray ye: Our Father which art in heaven, Hallowed be thy name. 10 Thy kingdom come. Thy will be done in earth, as it is in heaven. 11 Give us this day our daily bread. 12 And forgive us our debts, as we forgive our debtors. 13 And lead us not into temptation, but deliver us from evil: For thine is the kingdom, and the power, and the glory, for ever. Amen.
Philippians 4:6-7 (KJV)
6 Be careful for nothing; but in every thing by prayer and supplication with thanksgiving let your requests be made known unto God. 7 And the peace of God, which passeth all understanding, shall keep your hearts and minds through Christ Jesus.
1 Thessalonians 5:17 (KJV)
17 Pray without ceasing.
James 5:16 (KJV)
16 Confess your faults one to another, and pray one for another, that ye may be healed. The effectual fervent prayer of a righteous man availeth much.
1 John 5:14-15 (KJV)
14 And this is the confidence that we have in him, that, if we ask any thing according to his will, he heareth us: 15 And if we know that he hear us, whatsoever we ask, we know that we have the petitions that we desired of him.