Matthew 27:50 Jesus gave up the Ghost

⁵⁰Jesus, when he had cried again with a loud voice, yielded up the ghost. -Matthew 27:50 Bible, King James Version

A ghost is another name for a spirit. There are the spirits of mankind who have a physical body and those who do not. When Jesus gave up the ghost this simply means He discarded His outer body and continued to live as a spirit in the Spirit World.