Adam Webb and David Ireland were up for re-election but handed in their resignations beforehand.
That leaves the remaining director, Mark Uhren, in a tricky spot as BOS’s constitution means that without at least three board members he can only act in an emergency.
The company said it was on the lookout for replacement directors, adding that it will make an announcement in due course should someone be appointed.
After the resignations the AGM was adjourned until 17 January to allow for the annual report to be completed.
BOS shares were suspended on Thursday after talks with a potential funding partner broke down.
The firm is in need of a cash injection after Innovation Corporation – the company’s main lender and the vehicle of ex-chief executive Michael Travia – cut its funding last month.
A proposal is on the table from a group of shareholders and that looks like the best chance of the company avoiding administration.