RTÉ are reporting that Peter Taylor, gym owner and father of world champion Katie, is among the injured party.
The body of the 30-year-old man killed in the shooting remains at the scene.
A man is dead after a gunman opened fire at Bray Boxing Club this morning.
The incident took place at about 6:55 am this morning and the three men are believed to be seriously injured.
The gym is owned by Bray municipal council and operated by Mr Taylor.
Irish police told the BBC that Taylor's injuries and the injuries of the 35-year-old man are serious, but not life-threatening.
"We know that the gunman left the scene in a silver Volkswagen Caddy".
Gardaí are appealing for witnesses or anyone with information to contact Bray Garda Station on 01 666 5300.
A forensic examination of the scene is being carried out by Gardaí (Irish police).
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Fellow councillor Michael O'Connor added: "Pete Taylor was shot".
Lightweight Katie Taylor won gold at the London Olympics in 2012 and is a world boxing champion.
The scene is now closed off as gardai continue to investigate.
Local Sinn Fein TD John Brady tweeted: "Absolutely shocking news coming from Bray Boxing club this morning".
"Another dark day for Bray".
Inside the gym in Bray, Co.
Ireland's health minister Simon Harris, who represents the constituency of Wicklow, tweeted: "Shocking news in Bray this morning".
"I have no doubt that the Gardai are doing all they can to apprehend those responsible", he said.