The promotion will run until all the videos have been downloaded. Visitors to AOL Music are invited to text the relevant code for the video of their choice, which will be sent to their handset.
It is the first time that AOL Music has offered free mobile music video downloads.
The offer is limited to one download per mobile number, and users have a choice of videos from Franz Ferdinand, Stereophonics, Eric Prydz, Beat Freakz and Joey Negro.
Nokia is targeting the N91, which launched in the UK earlier this year, at music lovers in a bid to take on Apple's iPod.
It has a 4GB hard drive, allowing storage of up to 3,000 tracks, and offers users the ability to share playlists with friends by multimedia message, email or Bluetooth.
The partnership between Nokia and AOL was brokered by the mobile operator's media agency, MediaCom. It included Nokia's sponsorship of AOL Music in May and June.
At the end of June, Nokia announced the beta release of podcasting software for the N91 and its other N-series phones, enabling users to download and listen to audio and video podcasts on the move.