This paper explores the use of a viscoelastic material as a passive and straightforward solution towards the development of a hybrid composite material with improved damping properties. A cork based composite was selected as viscoelastic material due to its low weight combined with excellent damping properties, showing a great potential for vibration control. Two forms of specimens were considered: 1) a sandwich consisting of carbon-epoxy facesheets and a cork agglomerate core; 2) a carbon-epoxy laminate with embedded cork granulates. The experimental determination of the loss factor was based on the bandwidth method, being a determinant step to obtain relevant dynamic properties of the material for the development of an accurate computational model based on the different types of geometries. Results are encouraging about the possible use of cork based composites as a viable passive solution to improve the damping properties of high performance composites according to the design requirements for particular applications.