Commission on Improving Long-Term Care and Community Services Act of 2010 - Requires the Secretary of Health and Human Services (HHS) to establish a commission designed to construct a comprehensive national strategy on how to increase the affordability, accessibility, and effectiveness of long-term care and community services in the United States and its territories. Requires the commission's policy recommendations to address economic, geographic, cultural, social, transportation, workforce, and other factors that limit access to quality home, community, and institutional services.