Michael Gallacher, of Sittingbourne in Kent, was disqualified for four years after Gallacher Contract Services collapsed with debts of £215,000.
The Insolvency Service found that Logan failed to ensure that adequate accounting records were maintained or preserved. It was also found that he failed to co-operate with the liquidator of the company.
The service ruled that Jennings had failed to keep adequate accounting records or to comply with his statutory obligations as a director to file returns with Customs and Excise.
Gallacher was found guilty of trading while knowing that his firm was insolvent.
The DTI released figures in January showing that 103 construction and demolition company directors were disqualified in the six months from March to September last year.
Directors can be disqualified for up to15 years for unfit conduct.