  So far the study of black hole perturbations has been mostly focussed upon
the classical black holes with singularities at the origin and hidden by event
horizon. Compared to that, the regular black holes are a completely new class
of solutions arising out of modification of general theory of relativity by
coupling gravity to an external form of matter. Therefore it is extremely
important to study the behaviour of such regular black holes under different
types of perturbations. Recently a new regular Bardeen black hole solution with
a de Sitter branch has been proposed by Fernando. We compute the quasi-normal
(QN) frequencies for the regular Bardeen de Sitter (BdS) black hole due to
massless and massive scalar field perturbations as well as the massless Dirac
perturbations. We analyze the behaviour of both real and imaginary parts of
quasinormal frequencies by varying different parameters of the theory.
