Sussex Police have urged people to not join queues and have stressed to keep the roads clear.
A spokesperson for Sussex Police said: “We are aware of drivers queuing at petrol stations across Sussex, which is causing disruption on a number of roads.
“Current government guidance is that the public should continue to buy fuel as normal and we would ask drivers not to join queues on forecourts and along the roads.
“Keeping our highways clear is essential for emergency service vehicles to respond to incidents swiftly and hindering them poses a serious public health risk.
“Please be aware of the wider safety implications of queuing around petrol stations and do continue to follow the latest government guidance around the buying of fuel.
“Our officers are working to ensure the roads remain safe for everybody and will take action against motorists considered to be posing a risk to public safety.”
Leader of West Sussex County Council Paul Marshall said: “I know it can be unsettling when we see people queuing for fuel, but the government has been quite clear that there is no shortage of fuel and there is plenty to go around.
“I would urge residents to think carefully and not buy fuel unnecessarily.
“We can look after our communities if we all play our part and only use what we need.”