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Parts of Strood were earlier at standstill as thousands of workers tried to leave the Medway City Estate after the Medway Tunnel was closed.
Police said they were called out to the Gillingham-bound side of the tunnel at shortly after 10.30am to reports a vehicle was stuck inside.
Workers leaving the industrial estate in Strood, were stuck in their cars as the roads came to a standstill because of the closure.
The situation was made worse after a lorry jackknifed on the A228 Four Elms Hill in the snow near the roundabout on the northbound carriageway.
There is also queuing traffic on the A2 near Cobham, with people stranded in their vehicles, near to the M2 junction one and the A289 for Strood.
A spokesman for Kent Police said:"Police were called at 10.37am to a report of a vehicle stuck in the Gillingham-bound Medway Tunnel.
"A number of other vehicles were also reported to need assistance due to the weather.
"The tunnel was closed as a result and officers are at the scene assisting drivers.
"The tunnel has since been reopened."
After about two hours after the incident, traffic on the estate started moving again.