The freshly-inked deals are 12-month extensions to their current contracts with the Pittodrie club.
The news comes a month after McInnes rejected advances from English Championship side Sunderland to remain in Scotland’s north east.
McInnes cited “unfinished business” as one of his primary reasons for turning down the move and staying with the club he’s managed for the past four years.
Last season Aberdeen reached the final of both cup competitions, where they would lose to Celtic, and finished runners-up to Brendan Rodgers’ side in the Ladbrokes Premiership.
In 2014, McInnes led the Dons to their first piece of silverware in 19 years after the club triumphed over Inverness Caledonian Thistle in the League Cup final.
The 46-year-old told the club’s official website: “We’re delighted to extend our contracts and both Tony and I are looking forward to the season ahead.
“We’ve still a lot to do both on and off the pitch and as I’ve mentioned on several occasions I want our tenure here with Aberdeen to be remembered fondly as a successful period and one where we were winning trophies.
“I am committed to trying to bring more success to the club and with the excellent squad of players we have and the backing of our brilliant supporters, it is important we keep driving forward both on and off the pitch and maximise our full potential as a club.”
McInnes, whose side face Siroki Brijeg in Bosnia in the Europa League on Thursday following a 1-1 first-leg draw, added: “I love working for the club.
“Our aim must always be to have a competitive, confident Aberdeen team on the pitch, producing young players and training professionally in a modern facility that is in keeping with the ambitious club we are.
“We require the full support of the city and all our supporters to help us achieve that.
“As well as creating a professional environment, strong relationships are key if you want to be successful in football and we have that both with our players and supporters.
“Lastly, I would like to thank the chairman and the board for their trust, confidence and backing.”
Chairman Stewart Milne added: “I mentioned recently that Derek and Tony had demonstrated their loyalty to and ambitions for the club when they elected to remain and this contract extension reaffirms that.”