With the diversity of insurance business

the process of risk model by describing with single risk has limitation. So multi-type insurance risk model is particularly necessary. Considering the possibility of premium randomness and surrender risk

a multitype random risk model is established with the times of premium and claim being Poisson processes

and the surrender being a random q-sparse process of the premium process. By analyzing the properties of the surplus process

it is obtained the expression of ultimate ruin probability and the Lundberg inequality for ruin probability upper bound.