Hook, who did not rejoin the group for their live comeback last year, told NME that his replacement Tom Chapman played along to the recorded version of his 'Round and Round' bassline while on tour in Auckland.
"Have a look at it," Hook said. "He's got his fingers on the low and you can hear my high bass in the background. So he's miming. It's the Milli Vanilli of bass."
He added: "It's a fantastic compliment, but I best get on to my intellectual property lawyer and see if it's something you're allowed to do.
"I do think that miming to my bass is pretty much the ultimate insult. Still, check it out, there I am lurking in the background like a ghost."
However, the band replied to the publication: "On the chorus of 'Round and Round' there is a low bass part, a high bass part and Tom sings backing vocals.
"It's more than one person can manage so Tom recorded his high bass part and it's replayed as part of the backing track sequence. We strongly refute the allegation that New Order are using any of Mr Hook's bass playing in our live performance."
They continued: "When Mr Hook was part of New Order he tracked his parts that couldn't be played live because they coincided with other parts.
"We are simply doing the same with our new bass player... People living in glass houses shouldn't throw stones or their recent fake DJing YouTube hit might need to be recalled. Keep watching."
Hook also told the magazine: "It looks like we're going to court; neither side looks amenable to backing down.
"They've taken the New Order name and the trademark and basically thrown me 50p and said, 'That's all your worth, tw*tface. That's what you get for playing Joy Division music'."
Hook added that due to his ongoing situation with New Order, it was unlikely the material recently discovered in Jamie Oliver's basement would be released.
The bassist takes Joy Division compilation album Still on the road in May, while New Order support Blur at their Hyde Park Olympic celebration show in August.
Hook has backtracked from claims that he wanted to "f**k [New Order] over", while frontman Bernard Sumner has said that he does not ever want to work with Hook again.
Watch New Order perform 'Ceremony' live in 2002 with Peter Hook below: