The Republic of Ireland are still yet to concede a goal under Martin O'Neill's stewardship.
The Greens have now gone 212 minutes since their defence was breached after holding Poland to a goalless first half in Poznan.
Poland have offered very little going forward so far and star man Robert Lewandowski has been controlled well by centre-back duo Marc Wilson and Sean St. Ledger, who was replaced by John O'Shea just before the break after suffering a muscular injury.
The best chance of the half fell to Irish full-back Stephen Kelly, who headed just over from a corner kick.