As far as I could ascertain, according to Schedule 6 of the Northern Cape Nature Conservation Act 2009 (Act 9 of 2009) and its Regulations, all tarantulas are classified as invasive species and are illegal to possess. So the Western Cape has a partner...
Our regulations are so diverse and contradictory. I can find no basis whatsoever for the classification of tarantulas as invasive species. Obviously the definition of tarantula as used in this legislation does not include baboon spiders, as they are indigenous - unless they invaded successfully a while ago before the knee-jerk reactionary types wrote the legislation. This means that it is not illegal to possess baboon spiders (African theraposids) - however, these would be considered to be exotic, and therefore you need a permit. However, all venomous exotic spiders are also listed as invasive, therefore exotic baboon spiders are also illegal. Indigenous baboon spiders, which are not classified under Schedule 1 as specially protected, can be kept if you have a permit, as they are classified as common indigenous animals.
Did you know there is an element called tarantulum? see
wackypedia.wikia.com/wiki/Tarantulum