motorway A 4 exit 'Chemnitz-Mitte' via Leipziger Straße [B 95] or
motorway A 72 exit 'Chemnitz-Süd' via Neefestraße and then follow interstate road B 173 towards 'Zentrum' [city centre]/Zwickauer Straße
[You can find car parks on the area of the museum.]