The museum is located western to the city centre of Chemnitz at the corner of Zwickauer Straße and Kappler Drehe.
You can get there: 

by car

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.]

by tram

route 1 towards Schönau; you have to alight at the stop 'Industriemuseum'