Mr Khan, a commercial landlord, had employed contractors to carry out works to one of his properties.
It is unclear who dumped the waste, but under the Environmental Protection Act, any person who produces waste has a duty of care to deal with it lawfully.
The City of London Corporation, which manages the ancient woodland, brought the prosecution at Chelmsford Magistrates Court.
Khan pleaded guilty after failing to ensure that his commercial waste was removed lawfully.
The waste was dumped at two car parks in Lincolns Lane and Mount Pleasant, Loughton, in May. The tip was discovered by a Forest Keeper on patrol.
Tristan Vetta, City of London Corporation senior forest keeper, said: "Those who employ contractors need to understand that they are ultimately responsible for the where the waste ends up. It's important to do your homework and make sure you only employ reputable firms with a Waste Carriers Licence.
"Fly tipping in Epping Forest is completely unacceptable. It is unsightly, dangerous and damaging to the environment.
"Our job is to protect this ancient woodland and we will prosecute anyone found to be carrying out this sort of illegal activity."
A live cat, a goat, several large dogs, a dead donkey and 16,000kg of building waste are just some of the things that have been dumped in Epping Forest in recent years.
The City of London Corporation offers a £500 reward to individuals who can provide evidence which leads to prosecution for fly tipping.
It cleans up over 500 fly tips and 300 tonnes of rubbish every year in Epping Forest at a cost of £250,000.
The City of London Corporation manages run 11,000 acres of green space across London and south east England, including Hampstead Heath and Burnham Beeches, with many of its sites designated national nature reserves and Sites of Special Scientific Interest for their unique ecology and rare plant species.
Epping Forest is London and Essex's largest open space, attracting nearly 5 million visits a year.