State interior minister Herminio Garza Palacios said the shootings took place in Ciudad Victoria, capital of Tamualipas, a state that has been mired in violence between warring drug cartels for years.
The National Search Brigade for Disappeared Persons says José Jesús Jiménez Gaona was slain in the state of Veracruz.
Mexican rights activist Gustavo Castro Soto was wounded in the attack.
Gunmen opened fire on a holiday party on Wednesday at a social services agency in San Bernardino, California.
A source close to the investigation said the suspects had been brought in for interrogation, based on information found in one of the attacker's mobile phones.
The attack on the Radisson Blu hotel in Bamako began at around 7 a.m. Friday morning when two gunmen, approaching on foot, reached the entrance.
Who were the Paris attackers?
The suspected mastermind was already notorious and many of his alleged foot soldiers had crossed authorities' radars.
Gunmen killed a police commander in Chilpancingo, Guerrero, and officers pursuing the suspected attackers killed three people about two hours later.
Tamaulipas Coordination Group (GCT) reported that there are no casualties.