  Fulde-Ferrell (FF) Larkin-Ovchinnikov (LO) phases were proposed for
superconductors or superfluids in strong magnetic field. With the experimental
progresses in ultracold atomic systems, topological FFLO phases has also been
put forward, since it is a natural consequence of realizable spin-orbital
coupling (SOC).In this work, we theoretically investigate a triangular lattice
model with SOC and in-plane field. By constructing the phase diagram, we show
that it can produce topological FF states with Chern numbers, $C=\pm1$ and
$C=-2$. We get the phase boundaries by the change of the sign of Pfaffian. The
chiral edge states for different topological FF phases are also elucidated.
