Biodegradable polymers are a suitable alternative for replacing traditional food packaging with environmental concerns. Poly(butylene adipate-co-terephthalate) (PBAT) is a synthetic biodegradable polymer with high flexibility and a high potential for functionalization, aiming at bactericidal, antimicrobial, or antifungal properties. In this work, the casting method was used to prepare PBAT films containing Moringa oleifera (MO) seed powder. The MO was added in different contents of 0, 1, 3, 5, and 10% (wt) to functionalize the film properties and its efficiency as strawberry packaging. The PBAT films containing 1% (wt) of MO were the most suitable for packaging applications, considering the mechanical properties and thermal properties. MO did not present significant interactions with the PBAT matrix and reduced the PBAT crystallinity, leading to a decrease in gas and water vapor permeabilities. The PBAT-1% MO films showed good performance as biodegradable packaging for strawberry storage, prolonging their storage time and reducing their vulnerability to fungal attack. Besides, the MO decreased the fungal contamination of strawberries when compared to those stored in neat PBAT. The developed films performance suggests that the PBAT/MO films have good potential to be used as active food packaging.