  In this article, we study the deformations of Filippov algebroids. We define
a differential graded Lie algebra (in short DGLA) for a Filippov algebroid by
introducing the notion of Filippov multiderivations for a vector bundle. Later
on, we discuss deformations of a Filippov algebroid in terms of low-dimensional
cohomology associated to this DGLA. We define Nijenhuis operators on Filippov
algebroids and characterize trivial deformations of Filippov algebroids in
terms of these operators. In the end, we define finite order deformations and
discuss the problem of extending a given finite order deformation to a
deformation of a higher order.
