The boy and seven other underage drinkers were busted at about 3:30 a.m. Saturday at an apartment complex in the 600 block of S. Santa Monica.
Deming Police Capt. Glenn Chadborn said they received a call about a fight in the area, and found the teen in an extreme state of intoxication.
The teen and three other 16-year-olds were cited for minors allowing themselves to be served alcohol.
Adults cited were 20-year-old Joshua Pena, and Hernan Lerma, Antony Perez and Benjamin Reyna, all age 18.
Chadborn said officers were investigating how the underage drinkers acquired the alcohol.