Mogg, 36, has decided that he needs to add to his CV experience outside the bicycle industry.
He will be leaving Falcon before the summer.
"Joe has helped build a very strong sales team at Falcon and has been responsible for the company’s stability over some very turbulent times," said Falcon MD Steven Bell.
"He will be greatly missed. He has put an enormous amount of effort into this business and we all thank him for that, and wish him well in whatever new venture he moves into.
Mogg will hand over responsibility for all multiple and corporate accounts to Andy Wigmore, Falcon's commercial manager.
Wigmore will also become responsible for Falcon's product development. IBD sales will continue to be managed by Scott Hillyard.