Tribal Economic Development and Infrastructure Support Act of 2006 - Amends the Native American Housing and Self-Determination Act of 1996 to: (1) authorize Indian tribes to issue notes and other obligations (guarantee loans) to finance community and economic development activities; and (2) require at least 70% of the aggregate funds received by an Indian tribe or tribally designated housing entity as a result of a guarantee under such Act to be used for the support of activities that benefit low-income Indian families on Indian reservations and other Indian areas.