The 6.8 magnitude earthquake struck late on Friday, killing hundreds of people and damaging buildings across the country.
British journalist Martin Jay BBC Radio 4’s Today programme that he had just settled into sleep when it hit.
“The first hint was my wife screaming,” he said.
“We both had nodded off to sleep – but not into deep sleep – just into that light slumber I suppose … and she started screaming, and I just sort of opened my eyes and couldn’t quite join the dots up.
“I couldn’t quite equate the situation, I couldn’t imagine I was in the middle of an earthquake.
“Everything was vibrating, everything, the bed, the floor, the four walls.”
Part of their home was damaged by the earthquake, with some of the brick walls collapsing from the tremors.
However, Mr Jay said he had built his bedroom out of wood, which “probably” saved his life.
He said authorities warned the public not to go back into their homes after the earthquake.
“There were reports coming through on Moroccan media warning people not to go back into their homes,” he said.
“This was a nationwide message that was put out by the authorities.
“So, you have this weird evening of almost every single town in Morocco, most people are sitting on the ground outside of their houses or apartment blocks, because they were afraid of the second earthquake which they predicted would come two hours later.
“Thank God it didn’t.”
As of Saturday morning, the official death toll for the earthquake stands at 820.
Joanna Faure Walker, Professor of earthquake geology and head of the UCL Institute of Disaster Risk Reduction, said the death toll was likely to rise.
“When an earthquake occurs at night, people can be particularly vulnerable as getting out of their homes and navigating rubbles and debris in the dark adds to risk of injury and getting trapped,” she said.
“The early death toll figures are likely to increase significantly as early information is limited and rescue efforts are ongoing.”
Foreign Secretary James Cleverly has said the UK is supporting British nationals after a deadly earthquake hit Morocco.
He said: “Devastating news of a substantial earthquake just outside Marrakesh, Morocco.
“The UK is continuing to support British nationals in the region.
“We stand ready to help our Moroccan friends in whatever way we can.”
The FCDO has also updated its advice to Britons visiting the country, adding that they should “follow local media and safety instructions from local authorities”.
The US Geological Survey (USGS) said the earthquake had a preliminary magnitude of 6.8 when it hit at 11.11pm local time on Friday, while a magnitude 4.9 aftershock hit 19 minutes later.
The epicentre of the earthquake was near the town of Ighil in Al Haouz province, roughly 43 miles south of Marrakesh.
