It is understood to be seeking more than £10m from Chappell in relation to the pension deficit.
Chappell of Blandford Forum, Dorset, was adjourned and he will be sentenced at a later date.
Chappell said he would appeal the conviction at a later date.
Speaking outside court Chappell said his legal team would be lodging an immediate appeal against the verdict.
He said: “We feel this case has not been treated fairly. We will look deeply at this.”
Nicola Parish of the Regulator said: “Dominic Chappell failed to provide us with information we had requested in connection with our investigation into the sale and ultimate collapse of BHS, despite numerous requests.
“Anyone who fails to cooperate with our information notices risks getting a criminal record. Our separate anti-avoidance action against Dominic Chappell continues.”