Verses with the word jesse in the New Testament (5 verses):

Matthew 1:5
And Salmon begat Booz of Rachab; and Booz begat Obed of Ruth; and Obed begat Jesse;

Matthew 1:6
And Jesse begat David the king; and David the king begat Solomon of her that had been the wife of Urias;

Luke 3:32
Which was the son of Jesse, which was the son of Obed, which was the son of Booz, which was the son of Salmon, which was the son of Naasson,

Acts 13:22
And when he had removed him, he raised up unto them David to be their king; to whom also he gave their testimony, and said, I have found David the son of Jesse, a man after mine own heart, which shall fulfil all my will.

Romans 15:12
And again, Esaias saith, There shall be a root of Jesse, and he that shall rise to reign over the Gentiles; in him shall the Gentiles trust.