This paper focuses on time allocation to maximize the minimum throughput and sum-throughput of all users in a multi-cell wireless powered communication network (WPCN). Since interference of multi-cell WPCN is difficult to be calculated, we consider a multi-cell WPCN with load coupling and long-term average interference at all hybrid access points. The problems of maximizing the minimum throughput and sum-throughput are non-convex. First, two efficient optimization approaches are proposed to transform them into convex ones. As the max-min fairness throughput scheme cares more about the worst-case user, the doubly near-far problem can be addressed by the minimum throughput maximation. We also demonstrate the effectiveness of the proposed approaches through numerical analysis.