The tech investor cited "governance issues" at the British broadcaster in his resignation.
Shumeet Banerji, an ex-management consultant, leaves the BBC board and criticises its governance.
Shumeet Banerji announced his resignation on Friday
Shumeet Banerji was away during crucial discussions that led to resignation of director general and BBC News chief
Banerji said in his resignation letter that he was unhappy about governance issues at the organisation.
The departure of board member Shumeet Banerji adds to pressure on Shah, the BBC's media and culture editor writes.
BBC chairman Samir Shah, alongside board members and former advisers, appears before MPs after the resignation of Tim Davie.