Hadley, the CBI's director of media and comms since April, will leave the organisation at the end of the month, and take up a role in HSBC's global campaigns team, he told PRWeek. The former Edelman staffer has been at the CBI since 2010.
Naylor will take up his new role on 28 November. He will be one of a handful of direct reports to director-general Carolyn Fairbairn.
There have been several other senior corporate affairs moves at the CBI in recent months.
Josh Hardie, with whom Naylor will work closely, joined from Tesco in March as the organisation's deputy director-general, policy & campaigns, who joined in March from Tesco. Hardie himself took up a post vacated by Katja Hall a year ago, with Hall also departing for HSBC.
Prior to Hadley taking up his role, the role of director of corporate comms was held by Muniya Barua. Barua recently joined the public affairs agency Newington Communications (formerly Bellenden).
Naylor has been working as a consultant for nearly two years after leaving HSBC, where he was co-head of global comms, in December 2014. He took up that role, working alongside the bank's current head of employee insights and communications Pierre Goad, in 2011.
Before HSBC, he led comms at Credit Suisse for seven years, and at Centrica for six. He has also worked for energy firms Amerada Hess and Shell.
A note on the CBI website said Naylor "was passionate about helping the CBI create the environment in which business can invest and succeed in order to contribute to the future prosperity of the UK".
Naylor began his career as a singer in the Vienna State Opera.