Qithi was testifying in the defamation case against himself and BSA by promoter Branco Milenkovic. Milenkovic alleges he was unfairly blamed for world champion Noni Tenge being stripped of her IBF welterweight crown in July 2012.
Under cross-examination by Laurance Hodes SC, Qithi admitted that he had three previous convictions - possession of stolen property in 1995, driving under the influence in 2006 and drinking in public in 2011.
He is currently facing a charge of driving under the influence last year.
When Hodes asked him if he had disclosed his criminal record when applying for the BSA job in 2011 - the Boxing Act says the chief executive officer cannot have been convicted of any offence involving dishonesty - Qithi replied he had asked the police to check his record and they had told him it was no longer there.
"We are told that these things lapse after time," Qithi said, adding later that the act stated that it was BSA which must appoint a suitable chief executive officer.