The dead mink and the birds were found near the south-eastern coastal town of Oskarshamn.
Authorities are searching an area on the outskirts of the town for more dead birds.
8 out of 32 dead birds tested in the area around Oskarshamn have already tested postive for bird flu.
Meanwhile, authorities here have classified bird flu as hazard to public health.
Sweden is also following EU directives and recommends that cats in infected areas are kept indoors.