The victim, in his late 20s, was shot at about 11pm on Saturday in Kinsealy.
The shooting happened at Russell Terrace, Kettles Lane.
The man was taken by ambulance to Beaumont Hospital with injuries that are not believed to be life threatening.
Gardai at Coolock have preserved the scene for a forensic and technical examination, which is expected to be carried out later.
They have also appealed for witnesses.
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