  Matter in nontrivial topological phase possesses unique properties, such as
support of unidirectional edge modes on its interface. It is the existence of
such modes which is responsible for the wonderful properties of a topological
insulator -- material which is insulating in the bulk but conducting on its
surface, along with many of its recently proposed photonic and polaritonic
analogues. We show that exciton-polariton fluid in a nontrivial topological
phase in kagome lattice, supports nonlinear excitations in the form of solitons
built up from wavepackets of topological edge modes -- topological edge
solitons. Our theoretical and numerical results indicate the appearance of
bright, dark and grey solitons dwelling in the vicinity of the boundary of a
lattice strip. In a parabolic region of the dispersion the solitons can be
described by envelope functions satisfying the nonlinear Schr\"odinger
equation. Upon collision, multiple topological edge solitons emerge
undistorted, which proves them to be true solitons as opposed to solitary waves
for which such requirement is waived. Importantly, kagome lattice supports
topological edge mode with zero group velocity unlike other types of truncated
lattices. This gives a finer control over soliton velocity which can take both
positive and negative values depending on the choice of forming it topological
edge modes.
