Inuit in Canada hunt beluga, narwhal, pilot and bowhead whales. The three former are "non IWC whales". During the last decade, the Inuit have taken less than ten bowhead whales.

The Inuit have strict conservation measures. One bowhead can be harvested from the Baffin Bay population, which stands between 200 and 300 whales, every 13 years. One can be hunted from the 300 to 400 bowhead in Fox Basin, north Hudson's bay, every two to three years. In Nunavut, one bowhead was taken in each of the year 1994, 1996, 1998, 2000,2002 and 2005.

Since Canada is not a member of the IWC, there has been some controversy about the very limited hunt of the bowhead. The IWC has passed resolutions against Canada, and the US has threatened economic sanctions, without however implementing any.
The Canadian Inuit also take 300-400 narwhal and 500-700 beluga annually

Further reading:
Land Claim Agreements and the Management of Whaling in the Canadian Arctic http://www.highnorth.no/Library/Policies/National/la-cl-ag.htm
Canada Has no Intention of Joining the International Whaling Commission http://www.highnorth.no/Library/Culture/ca-ha-n2.htm
Canadian Inuit Say No to IWC http://www.highnorth.no/Library/Management_Regimes/IWC/ca-in-sa.htm
The IWC does not have legal competence for the management of small cetaceans http://www.highnorth.no/Library/Policies/National/th-iw-do.htm