Unconfirmed reports said one person was critically injured.
Photographs from the scene show a damaged charter aircraft in a field.
"We saw the plane and we heard a thumping sound", adds Storm.
At least twenty passengers have been pulled from the wreckage with paramedics, firefighters and police on the scene of the accident.
Tshwane Emergency Services spokesperson Johan Pieterse says the plane with 19 people onboard crashed shortly after taking off after suffering technical difficulties.More news: Starbucks to eliminate plastic straws in all stores by 2020
The Aviodrome aerospace theme park in the Netherlands said on its Facebook page that it was "hugely shocked" by the crash.
According to Dutch radio station Omroep Flevoland, the chartered plane which crashed was a historic aircraft which was bought at Aviodrome aviation museum in early June.
Emergency services said they were attending to "multiple" patients at the scene of the crash.
It said the Convair-340 was a US-built passenger plane that could carry 44 people.
The fuselage was marked Martin's Air Charter.
Civil Aviation Authority spokesman Kabelo Ledwaba said its investigators were at the scene and would issue a statement.