1 Kings - Chapter 2

On the day of Pentecost, recorded in Acts 2, Peter addressed the crowd in Jerusalem.  He said to them:

“Fellow Israelites, I can tell you confidently that the patriarch David died and was buried, and his tomb is here to this day. But he was a prophet and knew that God had promised him on oath that he would place one of his descendants on his throne. Seeing what was to come, he spoke of the resurrection of the Messiah, that he was not abandoned to the realm of the dead, nor did his body see decay. God has raised this Jesus to life, and we are all witnesses of it."

When Peter says that David's tomb is "here" in Jerusalem, he is supported by this chapter of 1 Kings, where it says:

"Then David rested with his ancestors and was buried in the City of David."