Frampton has not fought since his loss to Leo Santa Cruz in their WBA title fight in Las Vegas in January.
Mexican Gutierrez, 23, has lost just one of his 35 fights and is a former WBC Silver featherweight champion.
Frampton initially expected to fight Santa Cruz for a third time this summer but that bout failed to materialise.
Former two-weight world champion Frampton confirmed last week that his next fight would be in his home city.
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Guitirrez, known as the 'Jaguar', turned pro at just 15. He said he was relishing next month's showdown with Frampton.
"I'm very happy for this news they gave me. I know it will be very difficult, but I have the character to prevail," he said.
"I'm going to put in soul, life, and heart and I will fight for what I most want, that's why I'll prevail."
Frampton told a packed audience at the announcement at the Europa Hotel in Belfast that he was "excited to be back boxing at home".
"I was hoping this fight would be at Windsor Park but it wasn't to be. My dream is to fight at Windsor Park and I want to do that at some point," said Frampton.
"The SSE Arena is where I believe the best performance of my career has been, against Chris Avalos. The atmosphere there can't be replicated anywhere else. It's spectacular.
"I wanted a tough fight and I know I'll need to be at my best. If I'm not, I may lose this fight."

Felix Gutierrez-Cortez, 34, strangled Anna Maria Thomas, 61, in her Wandsworth home in December 2013.
He told authorities she had fallen unconscious while meditating, but was found guilty of manslaughter by diminished responsibility.
At the Old Bailey he was given an indeterminate sentence in a secure facility under the Mental Health Act.
The court heard Ms Thomas had given him a place to stay in exchange for Gutierrez-Cortez acting as her carer.
On 10 December the defendant called 999 claiming he had found his landlady dead and her body was found in a bedroom covered in a duvet.
He later changed his story to say she regularly became unconscious during meditation and that he had stayed in the lounge for two days while she meditated in the spare bedroom.
A post-mortem examination revealed she had been strangled days before Gutierrez-Cortez contacted emergency services.
Det Insp Andy Rees said: "Our investigations demonstrated that she was a caring mother and grandmother and a deeply religious woman with a wide circle of friends who will miss her deeply."

Broad Oak Toiletries Ltd, based in Tiverton, manufactured toiletries and health and beauty products, employing 214 staff.
A spokesperson said the company had ceased to trade immediately after a deal fell through to sell the business.
Capacity issues at its Tiverton plant were also blamed.
One employee, who asked to remain anonymous, said: "I am so scared for the future now. We haven't been paid for January and are worried any new buyer will take it on without honouring the debts."
In a statement the company said: "Regrettably it has been necessary to effect the redundancies of all employees."
Administrators said: "The company exhausted all possible options to continue to trade and, ultimately, in the absence of a buyer of the business as a going concern, it was forced to cease to trade and unfortunately all employees have been made redundant."
Carl Frampton will make his ring return against Andres Gutierrez at Belfast's SSE Arena in a WBC world featherweight title eliminator on 29 July.
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A lodger who worked as a carer for his landlady has been sentenced for killing her in their south-west London flat.
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More than 200 people have lost their jobs after a Devon toiletries company confirmed it has closed.