Plenty of Cape Town visitors head for the Cape of Good Hope thinking it's the southernmost point of South Africa, but that distinction belongs to Cape Agulhas. It isn't quite as dramatic as the Cape of Good Hope, nor as picturesque, with more of a gently curving coastline rather than a point, but there is a small rocky beach, and a geographical marker in Agulhas National Park indicating its status as South Africa's southern tip.
A shipwreck is still visible on Cape Agulhas, but many ships were lost in the difficult seas off the coast. The lighthouse in the national park was built in 1848 to help cut down on the number of wrecks. In addition to being the country's southern point, it's also off Cape Agulhas that the Atlantic and Indian oceans meet.
The Cape Agulhas Lighthouse is open to visitors for SAR 15 for adults and SAR 7.50 for children ages 2-11. The town of L'Agulhas nearby is a little less than three hours' drive from Cape Town.