Unlike the North Pole, where the "North Star" Polaris is within a half-degree of being exactly north, there is no "South Star"; there are no naked-eye visible stars close to the South Pole.
About the closest you can find is the Southern Cross, which points to the south pole without being right over it.
There is more than one
The Southern Star - Montevideo - was created in 1807.
Endemol Southern Star was created in 2004.
Southern Star Abbey was created in 1954.
Southern Star Group was created in 1972.
The Southern Star - Montevideo - ended in 1807.
Southern Star Airlines was created in 2011.
The Australian flag features the constellation known as the Southern Cross.
The Centaurus is the third largest star in the Southern Cross. The other two stars in the Southern Cross are named Alpha and Beta Centaurus.
Sigma Octantis is sometimes called the South Star.
Nashville Star - 2003 Southern Rock 2-6 was released on: USA: 2004
There is no particularly bright star near the south pole of the sky. A nearby star is Sigma Octans, but it is not as bright a star as Polaris (the North Star).
Its is a star formation visible only in the southern Hemisphere ( Australia ).