Initial reports from the scene suggest that a single gunman entered the club and opened fire, before escaping in a Volkswagen Caddy with Northern Irish license plates.
The body of the deceased remains at the scene pending the arrival of the State Pathologist and a technical examination of the area is being carried out by Garda Crime Scene Examiners.
Pete Taylor, 57, and an unidentified 35-year-old man were taken to an area hospital for treatment, according to various media outlets in the United Kingdom.
The father of Olympic champion Katie Taylor has been seriously injured in a shooting at his boxing club.
He said: "We are not giving out full details of the injuries received - what we can say is they are not life threatening".
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Lightweight Katie Taylor won gold at the London Olympics in 2012 and is a world boxing champion.
The shooting took place at approximately 6.55am local time while a number of local fighters were in the facility for training. Pete Taylor is believed to be one of those men.
Inside the gym in Bray, Co.
"I heard a load of shots, maybe six or seven shots", he said, adding that he saw an injured man stumble out of the club shortly before police and paramedics arrived on the scene.
Anyone who wishes to contact Gardaí on this matter can do so by calling Bray Garda Station on 01 6665300, the Garda Confidential Telephone Line 1800 666 111 or any Garda Station.