The company will also reject Apps that use known device fingerprinting techniques.
The Government department has apologised to those affected.
It's accused of "secret monitoring of private browsing".
Google says it will not build or use alternate tools to track web browsing traffic.
A report found the app contains security flaws that leaves data open to access by the Chinese government.
"A social dilemma cannot be allowed to become a social catastrophe."
The company will use its own alternative tracking tools instead.
Turns out private browsing isn't so private after all.
"Users should know when their data is being collected."