The hip-hop mogul, who founded the company with Jay-Z and Kareem 'Biggs' Burke in 1996, also revealed that the first project under the relaunched label will be rap newcomer Curren$y.
Speaking to MTV, Dash said: "Curren$y inspired me to dust off the chains. We brought 'em out for kicks, just 'cause we could. Then we was like, 'F**k it, let's put it out through Roc-A-Fella'. It was really more something he wanted to do.
"Basically, 'cause we havin' such a good time, and the opportunity's there, we was like, 'Why not?' Def Jam or Universal bought the brand. I think the 'beef' with us and Jay-Z was that Jay made it clear he didn't want me or Biggs to be a part of it.
"That's really where it was at. Now that he doesn't work for Def Jam any more, he doesn't have the right to use the name. So there's no reason for us not to use it. It's there, and it's a brand that's not being used. So I was like, 'I'll take it'. It always meant something to me."
Last month, Dash reportedly held a private meeting with Jay-Z to discuss the future of Roc-A-Fella records.