The assailants entered the centre "Uniting Families" and opened fire at the people inside, Xinhua reported.
It is estimated that about 25 people were staying in the centre when the first responders arrived on the scene to help the injured.
Over a dozen police vehicles have been deployed around the centre and police officers were searching for the attackers in nearby areas.
The state of Chihuahua, which borders the US, has seen some of the worst violence in Mexico's decade-long war on drugs.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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Doraiah Chowdary Vundavally is a Software engineer at VTech . He is the news editor of SocialNews.XYZ and Freelance writer-contributes Telugu and English Columns on Films, Politics, and Gossips. He is the primary contributor for South Cinema Section of SocialNews.XYZ. His mission is to help to develop SocialNews.XYZ into a News website that has no bias or judgement towards any.