The 34-year-old former glamour model and disability campaigner branded Boyle's gags "disgusting" and questioned whether he would continue making them if an accident left any of his loved ones paralysed.
"Boyle's wife could have a car accident and be paralysed from the neck down," she said in an interview with The Sunday Mirror. "Then we'll see if he jokes about people with disabilities.
"It would certainly change his life forever and open his eyes before he makes jokes. It's disgusting that he gets away with jokes about children like Harvey."
Price's son Harvey has septo-optic dysplasia and severe autism. He was targeted by Boyle in a series of jokes made on his televised stand-up show two years ago.
Ofcom received more than 500 complaints about the gags, which insinuated that Price and ex-husband Peter Andre were both hoping the other would gain custody of Harvey during their divorce and that the 10-year-old would perform lewd acts if not "controlled".
Boyle's latest jokes included assertions that the Saudi Arabian Paralympians were "mainly thieves" and that a Paralympic high jumper's best performance was "Taliban assisted". He later defended the gags, claiming that they were "celebratory" rather than derogatory.
Boyle had previously come under fire during the Olympic Games after making a joke on Twitter about bronze medal-winning swimmer Rebecca Adlington.
Following his most recent tweets, Paralympics broadcaster Channel 4 is said to be reconsidering its relationship with the comedian.