The squared metric facility leasing problem is proposed for the first time. This problem is an extension of the facility leasing problem. Squared metric focuses on the impact of distance on the connection cost and has a wide range of practical applications. In the squared metric facility leasing problem, each client arrives at some time period, and needs to be connected to some facility that is being leased at its time of arrival. Leasing facilities incurs leasing costs. Connecting clients to facilities incurs connection costs. The connection cost equals to the square of the distance between the client and the facility. Assume that the distances are metric. The goal is to lease some facilities and connect each client so that the sum of the leasing and connection costs is minimized. A 9-approximation algorithm is proposed for the squared metric facility leasing problem, which is based on the primal-dual technique.