Jones follows Martinez to Goodison Park from Wigan along with three more men who worked with the Spaniard at the DW Stadium and previously at Swansea.
Inaki Bergara has joined as goalkeeping coach, Kevin Reeves arrives as chief scout and Richard Evans has been named head of performance.
"We've brought people with real experience in the Premier League already," Martinez told the club website.
"They bring a real understanding of how we work and what we need to reach with the players and help them as quick as we can to be a strong team at the start of the season.
"What we have is a lot of important people at the football club that have excellent results and we'll make sure we get together to be ready for the start of the season."
Steve Round, Chris Woods and Jimmy Lumsden all left Everton this week to join David Moyes at Manchester United.