SINR distribution and rate overage distribution are crucial for optimization of deployment of Ultra-dense Het Nets.Most existing literatures assume that BSs have full queues and full-buffer traffic.In fact,due to ultra-dense deployment of small cells,traffic in small cell varies dramatically in time and space domains.Hence,it is more practical to investigate scenario with burst traffic.In this paper,we consider a two-tier non-uniform ultra-dense Het Net with burst traffic,where macro BSs are located according to Poisson Point Process(PPP),and pico BSs are located according to Poisson Hole Process(PHP).The closed-form expressions of SINR distribution and rate distribution are derived,and then validated through simulation.Our study shows that different from the result of full buffer case,the SINR distribution and rate distribution of users depend on the average transmission probabilities of BSs in burst traffic case. SINR distribution and rate overage distribution are crucial for optimization of deployment of Ultra-dense Het Nets. Host existing literatures assume that BSs have full queues and full-buffer traffic.In fact, due to ultra-dense deployment of small cells, traffic in small cell varies dramatically in time and space domains .ence, it is more practical to investigate scenario with burst traffic.In this paper, we consider a two-tier non-uniform ultra-dense Het Net with burst traffic, where macro BSs are located according to Poisson Point Process (PPP), and pico BSs are located according to Poisson Hole Process (PHP). The closed-form expressions of SINR distribution and rate distribution are derived, and then validated through simulation. Our study shows that different from the result of full buffer case, the SINR distribution and rate distribution of users depend on the average transmission probabilities of BSs in burst traffic case.