The two Saturday night primetime shows have gone head to head in the autumn for a decade, with regular blows between the stars of both series.
While The X Factor used to dominate over Strictly around 2008-2010, more recently Strictly has seen viewers up while The X Factor's have decreased, leaving the BBC One programme on top.
Now Craig doesn't see the ITV singing contest as rivals at all.
"It's not a competitor as far as we're concerned," he declared this week. "I don't really see it as competition."
Speaking to the Daily Star newspaper at the BAFTA TV Awards, Craig continued: "If you're constantly changing the formula then your changing what people love."
At the ceremony in London last night, Strictly beat another of Simon Cowell's shows as it was crowned Best Entertainment Programme ahead of Britain's Got Talent.
"I could not believe it, when Strictly was called out I had to look around twice," Craig admitted. "I think what stands us above the rest is my judging! But no the show is brilliant.
"The fact that it is a live show and it's going out live. I'm really proud to be a part of the show."
Both Strictly and The X Factor will return to BBC One and ITV respectively later this year.