What is the difference between"high quality material and high quality of material"?
Do they use in the same way or not?
It depends on where in the sentence a phrase like this would be used. When used as an object, I might say this phrase in one of two ways:
I expect this jacket to last a long time, due to its high-quality material. (hyphen is optional)
I expect this jacket to last a long time, due to the high quality of the material.
When used as the subject, I would probably only use the version without the of:
High quality material should make this jacket last a long time.
There are plenty of valid variations with regards to surrounding articles, prepositions, etc. For example, this is another way I could say it:
I expect this jacket to last a long time, thanks to a high-quality material.