Verses with the word psalms in the New Testament (6 verses):

Luke 20:42
And David himself saith in the book of Psalms, The LORD said unto my Lord, Sit thou on my right hand,

Luke 24:44
And he said unto them, These are the words which I spake unto you, while I was yet with you, that all things must be fulfilled, which were written in the law of Moses, and in the prophets, and in the psalms, concerning me.

Acts 1:20
For it is written in the book of Psalms, Let his habitation be desolate, and let no man dwell therein: and his bishoprick let another take.

Ephesians 5:19
Speaking to yourselves in psalms and hymns and spiritual songs, singing and making melody in your heart to the Lord;

Colossians 3:16
Let the word of Christ dwell in you richly in all wisdom; teaching and admonishing one another in psalms and hymns and spiritual songs, singing with grace in your hearts to the Lord.

James 5:13
Is any among you afflicted? let him pray. Is any merry? let him sing psalms.