They also say they are now searching for two gunmen who carried out the horrific attack that also injured two other people.
They were treated at the scene by emergency personnel.
"The incident was reported to Gardaí shortly before 4pm on August 16th 2017".
The Laois Fine Gael TD says he utterly deplores the fatal shooting of a mother of six in her forties and a man in his thirties in Ballymun yesterday evening.
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"On arrival at the scene Gardai discovered a woman and a man suffering from apparent serious gunshot wounds".
They bodies of the man and woman remain at the scene while another man and woman have been taken to the Mater hospital with minor injuries.
A silver Opel Zafira with 08 LS plates was found partially burnt out a short distance from the scene, which has been sealed off for the Garda Scenes of Crime Examiners.
Speaking at Ballymun garda station, Chief Supt Lorraine Wheatley: "We are appealing for information in relation to a shooting at 4pm today in Balbutcher Drive".
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