What to do with Cyclic Redundancy Error

I have got a huge collection of music videos and movies, and recently I have decided to move some files in other drive to free up some space in my older drive. But I can’t copy some of the files.
There is an error message appears after copying some part of the file saying data redundancy error.

Error Copying File or Folder
Cannot copy Freedom; Data error (cyclic redundancy check).
I don’t think my hard drive is faulty because I have checked the drive, but no error was found. Is these files are corrupted?
Do you know any process to get back the files?
Please share your knowledge on this issue.
