It has been reported that Lawn Tennis Association (LTA) and the All England Lawn Tennis Club (AELTC) were also fined for excluding players from warm-up competitions in Eastbourne, Nottingham and Birmingham this summer.
AELTC chief executive Sally Bolton revealed the organisation was left "deeply disappointed" by the decision.
Asked about the fine, she said: "I think the first thing to say is that it is the subject of a legal process so I can't comment specifically on that."
She added: "We stand by the decision we made, we are deeply disappointed at the reactions of the tours to that decision and I probably can't say anything more on that at this time, I'm afraid.
Asked if the AELTC would appeal, she said: "Yes, we have appealed."
Bolton is still waiting to hear from the ATP on whether the organisation also plans to impose a fine over the ban.
When asked whether the AETLC or LTA would pay the fines, Bolton added: "We are separate organisations and we have been fined separately so we are addressing it separately, but it is subject to a legal process so I can't say anymore."
The WTA and ATP criticised Wimbledon's decision to ban players from Russia and Belarus shortly after the announcement from the All England Club.
Both organisations, alongside the International Tennis Federation, made a decision in May to strip the grand slam of ranking points in response to the ban.
Bolton said: "We thought really, really long and hard about that decision. It was an incredibly difficult and challenging decision to make.
"It was not one we took lightly. We thought carefully about the ramifications of taking it.
"But it was absolutely the right decision for us. It was the only viable option in the context of the Government guidance in place and we stand by that decision.
"We accept that others will take a different view view but we absolutely stand by that decision."