The present invention relates to a degradable film for packaging fruit and vegetables, which comprises a polyolefin-based polymer matrix that incorporates an antimicrobial (biocidal or fungicidal) active ingredient of an essential oil, selected from the group consisting of: carvacrol, cinnamaldehyde, cineol, sabinene, thujaplicin, or a mixture of same, or incorporates the essential oil itself, selected from the group consisting of: cinnamon oil, oregano oil, eucalyptus oil, nutmeg oil, hinoki oil, or a mixture of same. The polymer matrix further comprises degrading agents. The invention also relates to a method for microencapsulating the antifungal or antibacterial active ingredients of the essential oil or the essential oil itself, and to a method for preparing the film.