Title I Integrity Act of 2005 - Amends the Elementary and Secondary Education Act of 1965 (ESEA) to require local educational agencies (LEAs) to use title I-A funds only for direct or indirect instructional services. (Title I-A funds are those received under ESEA title I Helping Disadvantaged Children Meet High Standards, part A Improving Basic Programs Operated by Local Educational Agencies.)
Limits to ten percent the portion of title I-A funds that an LEA may use for indirect instructional services.
Sets forth the types of direct and indirect instructional services for which title I-A funds may be used.