Cork manager Damien Richardson will not be too happy as his side have yet to win a game this season, two games in the Setanta Cup,and this scoreless 0-0 draw follows last weeks defeat to Waterford in the Munster derby.
Galway produced an early chance when an Alan Murphy shot brought a parried save from Cork goalkeeper Michael Devine,with home captain Dan Murray completing the clearance in only the third minute of action.
The homeside might have had a penalty before half time when Galway goalkeeper Alan Gough collided with centre forward Roy O'Donovan in the penalty area, but referee Ritchie Winters was not impressed.
Despiit Cork introducing three substitutes after the break, it was Galway with skipper Wesley Charles and fellow centre back, Dutchman Regillio Nootimeer who were never really troubled by a City side who have now scored just once in four competitive games this season.
Cork City: Devine; Ryan, Horgan, Kelly, Murray; Kearney, O'Brien, Gamble, Woods; O'Donovan, O'Flynn.
Substitutes: Murphy and Behan for O'Flynn and O'Brien
both 74 mins, C Lordan for Kearney 77.
Galway: Gough; Tracey, James, Charles, Nooitmere; Cooke,
Lester, Foley, O'Brien; Armstrong, Murphy.
Substitutes: S O'Flynn for Armstrong 55 mins, Russell for Murphy 87
Referee: R Winter(Dublin).