She was a full member of the parliament's Committee on Environment, Public Health and Food Safety (ENVI) and a substitute member of the Committee on Civil Liberties, Justice and Home Affairs (LIBE).

In October 2017, her proposal to resettle around 240 000 refugees per year in the EU member states was approved in the LIBE committee.

Björk worked for several years for the European Women's Lobby in Brussels.

[1] She was the Left Party's top candidate in the 2014 European Parliament election after she narrowly won a fight for the position against incumbent MEP Mikael Gustafsson.

[1] She seeks stronger measures against social dumping, including overturning the principle of the ruling in the case Laval Un Partneri Ltd v Svenska Byggnadsarbetareforbundet,[3] which held that the right to strike is limited if it disproportionately affected the right to establish or provide business in the EU.