The late Palestinian leader is despised by many Kuwaitis for supporting Iraq's invasion of their country in 1990.
The documentary, which describes Arafat as a great freedom fighter, was shown a day before his death was made official.
Information Minister Mohammad Abdulhassan has come under fire over the issue, in particular from conservative MPs.
Kuwaitis remember only too well how Arafat very publicly supported former Iraqi President Saddam Hussein during the invasion of their country.
Some Kuwaitis are also disappointed that their government sent a high-level delegation to Arafat's funeral in Cairo.