  This work concerns a type of coupled McKean-Vlasov stochastic differential
equations (MVSDEs in short) with jumps. First, we prove superposition
principles for these coupled MVSDEs with jumps and non-local space-distribution
dependent Fokker-Planck equations. Since superposition principles are related
to the well-posedness of weak solutions for coupled MVSDEs with jumps, then we
give some conditions to assure it. After this, we construct space-distribution
valued Markov processes associated with these coupled MVSDEs with jumps.
Finally, the ergodicity of these coupled MVSDEs with jumps are investigated. As
a by-product, we show the exponential ergodicity for a type of MVSDEs with
jumps.
