Welcome Muhammad
You could try editing the install options and change "quiet splash" with nomodeset, this should inhibit the installer loading a graphics driver which causes your problem. I'm not sure the details but I had to use this once when I installed ubuntu and you can find details in forums. It appears to be a bit of a dark art!
There is an alternative installer which I read is text base, Ive never used it perhaps someone can confirm this?
I found a similar problem here for boot but I assume it's driver problem and it should work too.
Black screen on boot