The former Big Brother contestant labelled Tweed a "scumbag" after he allegedly criticised her weight.
Hayes tweeted to her followers a series of text messages between the pair, which included her telling him to "go and enjoy yourself". She later deleted the messages from her page.
She tweeted: "Some people in this world make me sick.
"To think I shared my life with one of those people for nearly three years turns my stomach! # scumbag"
Hayes began dating the widower of Jade Goody in April 2010, and have been off and on ever since.
She first confirmed their break-up back in July 2010, before doing so again online in November that year.
In November 2011, she stated that Tweed helps raise her son Blakely, and said that they were "really happy".