Larry Rosenberg, who was armed with a rifle and a handgun, fled the scene in the city of Cheyenne, killing himself as police pursued him.
Shootings are rare in the city - police handled a total of six homicide cases last year.
No motive has yet been established. The condition of those wounded is unknown.
A woman who knew Rosenberg said he had grown aloof.
The woman, whose mother lives at the home, said: "He started getting more and more distant, complaining about the facility and about people and just kind of pulling away, isolating himself more and more."
Schools in Cheyenne were placed on lockdown for a brief time.
Cheyenne, the capital of Wyoming, has a population of 60,000.
Elderly resident shoots three at Wyoming senior complex
15 September 2016
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A 77-year-old man has shot three people at the senior citizens` complex where he lived in the US state of Wyoming, killing one person and wounding two.
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