Kent Police say that the M20 could remain closed until midday while the lorry is recovered. They say that the full width of the road is required to remove the lorry from the ditch.
Kent Fire and Rescue Service is attending the scene following reports of a fuel leak.
More top news
Sunday's weather update for the east with Philippa
Sunday's weather update for the west with Philippa
Philippa has Sunday's weather for the east