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For the issue that the existing cloud resource scheduling scheme doesn’ t take into account the dynamic price of resources, this paper proposed a new task scheduling scheme under the convex price function. First, this scheme modeled the rent price of cloud resource as a convex function, and divided the task execution interval into multiple units. Then, it rescheduled the tasks in the low density interval to other intervals under satisfy the task deadline, which according to the task density in the sub interval, so as to make the tasks stack for execution. Finally, based on the properties of the convex price function, it allocated the maximum resource for each task with the maximum execution rate of the task, so that to get more preferential price and reduce the total cost of the leased resource. Experimental results show that the proposed scheme can effectively reduce the total cost of task execution. [ABSTRACT FROM AUTHOR]