Can't install games on my HDD

Whenever I download a game (Steam) to my HDD, it always ends up in a "Disk Write Error", "Disk Read Error", or a "Corrupt Game File". I've had to change HDDs and this is my 3rd now, I thought maybe it was a hardware issue because the past HDDs I bought were the pre-owned ones, but now I bought a brand new one and it's still giving me errors when I'm downloading in my HDD. I don't know what to do anymore, I can install anything in my SSD (primary storage) and no error occurs, but why when I install games in my HDD (secondary storage) it keeps on getting errors. What's the problem? Badly need help. TIA