A tweet from McNally's Twitter feed on Saturday saw him offer to quit as angry fans vented their frustration following the 1-0 defeat by Manchester United at Carrow Road
The loss, City's fourth in a row, left them 19th in the Barclays Premier League and on the brink of a second relegation in three seasons with just two games remaining
McNally tweeted: "that's ok and I understand your view
I've resigned tonight and I hope that the club can now progress."
Another tweet in the early hours of Sunday morning from the account suggested McNally, who arrived at Carrow Road in 2009, had changed his mind
It said: "I take back what was said earlier
I remain fully committed to NCFC and to Delia and Michael,&I've not resigned
The tweets were later deleted from his account but on Monday morning a statement on the club's official website confirmed McNally's departure
It read: "David McNally has resigned from his position as chief executive of Norwich City Football Club Plc.
"The board of directors has unanimously agreed to accept his resignation and would like to place on record their sincere gratitude for David's game-changing contribution to the football club since he joined in the summer of 2009.
"David played a leading role as the club erased crippling debts and rose from the lower reaches of League One to the Barclays Premier League.
"Everyone at Carrow Road wishes him all the very best for the future.
"Director of finance Steve Stone has been appointed interim chief executive and the board and everybody at the club is totally focused on supporting Alex (Neil) and the players as we head in to Wednesday night's vital Premier League game against Watford at Carrow Road."
Source : PA