The TV presenter has reportedly been secretly engaged for six months to Cohen, who fronts the indie band S.C.U.M.
She told The Sunday Mirror that she wasn't in a hurry to rush down the aisle.
'Yes, I'm engaged! We don't want to get married for a couple of years yet though so don't expect me in a dress yet,' she said.
The 22-year-old star added: 'I'm so happy!'
Peaches has been dating Cohen for a year and has been married once before.
The socialite got hitched to boyfriend Max Drummey one month after they met in 2008 at a quickie ceremony in Las Vegas.
The couple split a few months later and Peaches got divorced aged 19.
Rumours later emerged that she had married Max as a publicity stunt for his band Chester French.
At the time she said: 'I didn't go into it with Max thinking, "This is going to last forever".
'But I did go into it thinking, "I love him right now and I know that I will continue to love him for a long while".'
I hope they are happy in their drug fueled STD-infested marriage. I would say I hope she dies but I don't want Eli Roth to write a mean letter to my mom.