In 2012, she was elected dean of the University of Primorska Faculty of Mathematics, Natural Sciences and Information Technology (UP FAMNIT) and since 2015 has concurrently been assistant director of UP IAM.

Since 2017, she has been a member of the Council of the InnoRenew CoE (Center of Excellence for research and innovation in the field of renewable materials and a healthy living environment),[7] and the leader of the investment project “Renewable Materials and Healthy Environments Research and Innovation Center of Excellence – InnoRenew CoE” at UP FAMNIT.

[8] In 2017, Kutnar was appointed by the Minister to the Working Group to support the Peer-Counseling Project on the financing of higher education in Slovenia.

She is also a member of the Council of the Republic of Slovenia for prizes and awards for outstanding achievements in science, research and development.

[10] Klavdija Kutnar has a twin sister, Andreja, who received the 2018 Zois Award for important scientific achievements in the field of wood science, and is the director of the InnoRenew CoE.