  Bardeen de-Sitter (BdS) black hole is a spherically symmetric solution of
Einstein's equation which is coupled to nonlinear electromagnetic field in a
way that one gets a regular solution, devoid of any singularity at the origin.
We compute the quasinormal (QN) frequencies for BdS black hole due to
electromagnetic and gravitational perturbations. We analyse the behaviour of
both real and imaginary parts of BdS QN frequencies by varying the black hole
parameters and compare frequencies with Reissner-Nordstr\"{o}m de-Sitter
(RN-dS) black hole. Interestingly, we find that the response of BdS and RN-dS
black holes under electromagnetic and gravitational perturbations are different
when the charge parameter is varied, which can be used to understand nonlinear
and linear electromagnetic fields in curved spacetime separately. A study on
the dynamics of perturbation as well as the scattering from the BdS black holes
using WKB approach is performed. Greybody factors and their variations with
black hole parameters are investigated.
