His preserved works are:
- Hákonarmál - Composed in memory of king Hákon and tells of his reception in Valhalla. The poem is similar to the earlier Eiríksmál.
- Háleygjatal - Recounts the ancestors of earl Hákon back up to Odin and tells of their deaths. The poem is similar to the earlier Ynglingatal.
- Some 14 disjoint stanzas on historical events.
Eyvindr drew heavily on earlier poetry in his works. The cognomen skáldaspillir means literally "spoiler of poets" and is sometimes translated as "plagiarist", though it might also mean that he was better than any other poet.
He is mentioned in the second verse of the Norwegian national anthem.