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June 24 2017, 05:23 | Irvin Gilbert
The 38-year-old had been linked with Sky Bet Championship rivals and North-East neighbours, Sunderland, but said Boro and chairman Steve Gibson were "the right fit" for him.
Monk was appointed as manager of Leeds last summer following his sacking by Swansea City and led the club to the seventh place, despite pre-season expectations of a mid-table finish.
"Everyone in football knows what he is like and when you speak to him, you can see first hand the passion he has".
"I then became a manager out of a job and the next process was to find the right challenge at a club which ticked the boxes I needed".
The ex-Netherlands global also used to play for Leeds' rivals Manchester United during his playing career - something which has also come up with the Yorkshire clubs' supporters.
He left the club following a takeover by Italian Andrea Radrizzani, and claims the new ownership model and structure of the club is the reason why he chose to depart.
"I want to go to the top, I played at the top as a player and I want to as a manager", the former Manchester United player said.
Hull have appointed former Russian Federation boss Leonid Slutsky as their new head coach. It was a challenge that really appealed to me.
Boro interviewed several candidates, but Monk emerged as the club's first choice and will be unveiled on Monday.
But Monk was looking to the bigger picture and further ahead with the security of being allowed to build something over time at Boro being something that he had undoubtedly been craving during his time at United.
"Promotion has to be the ambition".
"Ben is one of a number here who is integral to the club", added Monk. "We want to go back up as champions".