Abstract: Resource placement of IaaS service model is essential to the cloud infrastructure resource placement. This paper studies the virtual machine placement problem in the resource placement of the IaaS layer, presents quality of service model of the SLA in IaaS cloud resource placement, and then propose a muti-dimensional differential evolutionary algorithm base on QoS. The Algorithm combined with the non-dominate sorting and the differential evolution algorithm, and optimized speed sorting and filtering on progeny in the non-dominate, achieve taking into account the many types of resource constraints and other objective constraints when the resource placement of IaaS. Obtain more reasonable multiple types of resource placement result accordingly. Finally, the simulation results show that, to compared with other traditional heuristic algorithms, the proposed muti-dimensional resource VM placement algorithm is more faster in search, meanwhile the final result of the search get the minimum default rate, it has better performance on QoS metric, thus verifying the validity of algorithm.