Carlton Bridge at Ferry Lane was shut between Snaith and Carlton at around midday yesterday as a result of a leak.
Engineers were called to the scene and traffic was re-diverted.
Humberside Police said that the bridge was likely to remain closed for a week.
A short statement released by the force yesterday said: "The bridge from Snaith into Carlton on the A1041 is currently closed in both directions due to a gas leak.
"Engineers are currently at the location however the bridge is likely to be closed for up to a week. Please avoid the area and find an alternative route."
Support The Yorkshire Post and become a subscriber today. Your subscription will help us to continue to bring quality news to the people of Yorkshire. In return, you'll see fewer ads on site, get free access to our app and receive exclusive members-only offers. Click here to subscribe.