The argument apparently began after Arthur responded to a tweet from Boyle insulting his education. Boyle's original message was written six days ago.
"[I'm] one of the many demons in your mind telling you to insult everybody in the hope of feeling somewhat important. I Luv u x", Arthur wrote.
Boyle responded by writing: "From the pic I thought it was a child's drawing of a monster.Sit down &( so far as it's technically possible) shut your mouth".
@JamesArthur23 Well you look like a post-op Miley Cyrus, so why not get it on? Oh, that's right, because of your rampant homophobia.
— Frankie Boyle (@frankieboyle) November 16, 2013
The argument continued to heat up as Boyle attacked Arthur's appearance and name.
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The X Factor winner continued: "You are a 38 yr old man what are you doing? You know nothing about music and comedy it seems.. I feel sorry for your kids."
He then vowed to leave Twitter, writing: "#LOVE to my fans but I'm coming off twitter for good. HQ will be doing all my tweets from now on. PEACE!"
Arthur apologised earlier today for using a homophobic slur earlier this week.
View all of today's best celebrity pictures - photo gallery:Celebrity Pictures: 10/11/13 - 15/11/13
