Council teams were sent to the lay-by after the rubbish was spotted on the eastbound side of the A1033 between junctions B1362 and B1240.
The rubbish included bags filled with empty food and drinks containers as well as plastic kitchen utensils and the sofa.
It is thought to have been dumped on Thursday evening or the early hours of Friday, with the culprits’ identities currently unknown.
A council spokesperson said any residents who come across dumped rubbish should report it.
The spokesperson added fly-tipping across the county had risen during the coronavirus lockdown but was now back at normal levels.
The spokesperson said: “We have sent our staff to clear tis waste and we will be investigating this fly-tipping incident fully. Fly tipping did rise slightly during the lockdown but incidents are now at usual levels.
“Our enforcement teams continue to investigate all offences reported to us and take action where we can. Residents are encouraged to report any fly tipping or suspicious activity.”
East Riding residents who wish to report fly tipping can do so by calling 01482 293939 or online at www.eastriding.gov.uk/fly-tipping.