Wood, who is also chairman of the Rugby League International Federation, has served on the RFL board since 2001.
"I am extremely honoured and privileged to have served as chief executive of the Rugby Football League," said Wood.
"I am an unashamed rugby league fan and can think of no greater honour than to be asked to fulfil the role of CEO for the Rugby Football League.
"However, leadership presents many tests, and the greatest of these is to recognise when it is time to step out and this is the right moment to do so.