Greenland was a European Parliament constituency for elections in the European Union covering the territory of Greenland.

It was represented by one Member of the European Parliament.

Finn Lynge of Siumut was elected.

The vote was held on 14 June 1984, and the eligible electorate was 34,653.

When Greenland seceded from the European Community on 1 January 1985 Lynge's seat was transferred to the Danish Socialist People's Party.