I can sign in on a computer to iCloud and iTunes but not on iPhone 5

I tried to update new iOS version but sign in failed 3 times with correct password. I had just installed an app about 4 hours prior. Tested loggin on from comouter to iCloud and iTunes and was successful, so same ID and password should work. Also reset password to fis this same issue about 4 days ago. How do I solve this problem?