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Nowadays, the <i>IEEE 802.11 wireless local area network (WLAN)</i> has been widely used for Internet access services around the world. Then, the <i>unfairness</i> or <i>insufficiency</i> in meeting the <i>throughput request</i> can appear among concurrently communicating hosts with the same <i>access point (AP)</i>, which should be solved by sacrificing advantageous hosts. Previously, we studied the <i>fairness control method</i> by adopting <i>packet transmission delay</i> at the AP. However, it suffers from slow convergence and may not satisfy different throughput requests among hosts. In this paper, we propose a <i>throughput request satisfaction method</i> for providing fair or different throughput requests when multiple hosts are concurrently communicating with a single AP. To meet the throughput request, the method (1) measures the <i>single</i> and <i>concurrent throughput</i> for each host, (2) calculates the <i>channel occupying time</i> from them, (3) derives the <i>target throughput</i> to achieve the given <i>throughput request</i>, and (4) controls the traffic by applying <i>traffic shaping</i> at the AP. For evaluations, we implemented the proposal in the WLAN testbed system with one <i>Raspberry Pi</i> AP and up to five hosts, and conducted extensive experiments in five scenarios with different throughput requests. The results confirmed the effectiveness of our proposal.