Frampton, 26 and from Tiger's Bay, has enjoyed career successes since turning professional in 2009.
Under the management of former boxer McGuigan, he has challenged for and currently holds the Commonwealth Super-Bantamweight championship.
Matchroom Sport and I wish Carl every success in his future boxing career.
"We have enjoyed our time working with Carl Frampton as promoter of his boxing career," Eddie Hearn from Matchroom said.
"However, after the success of the last Frampton fight, we were informed by Barry McGuigan that he wanted to be joint promoter in future Frampton fights.
"Whilst we had no problem whatsoever in agreeing purses for Carl Frampton, we felt that such a relationship with Barry McGuigan represented a potential conflict of interest with Barry's role as Carl's manager and we could therefore not agree to be involved on this basis."
After 16 professional bouts, Frampton remains undefeated and has racked up 11 wins by knockouts.