They had previously attempted to launch in Botswana but had run in to difficulties due to the weather.
This time however everything went perfectly.
The 38-year-old soared over a distance of more than 25km at an altitude of 8,000ft before finally coming in to land after selectively bursting some of the balloons to aid his descent.
Describing the experience as 'unbelievably cool', Morgan also admitted that during take-off he had been feeling 'somewhere between terrified and elated'.
"If something had gone horribly wrong it would have been pretty permanent," he said. "There was a priest from South America who did it a few years ago and he went too high and didn't come back."
