The body is looking into his behavior "prior, during and after his contest," BBBC General Secretary Robert Smith said in a statement. "A further statement will be issued once the stewards have decided on what action will be taken."
Chisora taunted Haye about losing the WBA belt to Wladimir Klitschko in July, leading to a heated exchange before the pair came to blows. Haye also fought with members of Chisora's entourage, and his coach, Adam Booth, was bleeding from a cut on his head.
Booth said Monday he did not know what he had been hit with.
He told Sky Sports News that Haye would be "more than happy" to speak to German police if contacted and denied rumors that the brawl had been staged as a publicity stunt.
"I didn't get that memo," Booth said. "If I did, I might have ducked."
Haye said he would assist the BBBC but did not say whether he would return to Munich to speak to police.
Chisora faces a possible charge of simple assault in Germany. His coach, Don Charles, also faces a charge of assault for his involvement in the melee. The pair have returned to England.
Munich police spokesman Werner Kraus said several legal obstacles need to be resolved before a warrant could be issued for Haye's arrest.
"The criminal police are still investigating. If they decide to take it further, they will have to present the case to the state prosecutor for review," Kraus said. "Eventually the state prosecutor could decide to ask, in this case the British police, for help.
"But ultimately only the state prosecutor can make that decision."
Haye could face charges of simple assault and grievous bodily harm.
A conviction for assault carries a possible prison term of up to five years, while grievous bodily harm could lead to a 10-year sentence.
Wladimir Klitschko said Monday he was "shocked and deeply embarrassed" by Chisora and his team.
He said "these kinds of actions ... must be stopped, otherwise the sport of boxing is going to go down the hill fast."
Associated Press writer Ciaran Fahey in Berlin contributed to this report.
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