Native American Languages Reauthorization Act of 2014 - Amends the Native American Programs Act of 1974 to reauthorize through FY2019 and revise a grant program administered by the Administration for Native Americans at the Department of Health and Human Services (HHS) to ensure the survival and continuing vitality of Native American languages.

Decreases the required minimum number of enrollees in educational programs funded by the grant program from:

• 10 to 5 enrollees in Native American language nests, and
• 15 to 10 enrollees in the Native American language survival schools.

Changes the duration of grants provided under the program.