I want to do MS in Germany under VLSI Course domain and i searched some articles where I can get a free education in public universities of Germany is it true?

Yes, it is true public universities in Germany are free, but only the tuition fees are not there rest admission fees, and all still have to be paid by you. Here is a list of universities that you can target to pursue an MS in VLSI:

University of Freiberg.
Hamburg university of technology.
RWTH- Aachen
Technical University - Dresden.
Microelectronics is the branch that includes VLSI. In Germany, if you are doing a master's degree in electronics and communications, you must choose your electives; thus, any electronics master's degree can include VLSI subjects. If you have any further questions just ask me.