Anna Syberg attended the technical school in Faaborg after which she studied painting under Ludvig Brandstrup and Karl Jensen in Copenhagen.

In 1882, she met Fritz Syberg who was serving an apprenticeship as a house painter with her father Peter Syrak Hansen.

The two quickly fell for each other and after Anna had spent a period decorating porcelain at the Royal Copenhagen factory, they married in 1894 and set up home in the little village of Svanninge, just north of Faaborg.

In 1902, they moved to Pilegården near Kerteminde, also on the island of Funen, where Anna became a close friend of Johannes Larsen, another member of the Fynboerne group of artists.

From 1898, Anna Syberg exhibited at Charlottenborg and in 1912 her works were presented at Den Frie Udstilling.