  We investigate cosmological dynamics and screening mechanism of the
Dirac-Born-Infeld (DBI) Galileon model. The model has been divided into two
regimes, one has positive signs in front of scalar field kinetic terms
so-called the DBI galileon, another one has negative signs and it is dubbed as
the DBIonic galileon. We find de Sitter solution and evolution of the Universe
starting from radiation dominated era to late-time accelerated expansion in the
DBI galileon model without the presence of potential term. In one of the
attractors, the ghost and Laplacian instabilities vanishes for the whole
evolution. We find mixing of screening mechanisms between the Vainshtein
mechanism and the DBIonic screening mechanism in the DBIonic galileon model, in
which a scale changing between these two mechanisms depends on a mass of a
source.
