Robbie Keane and Andy Reid both started in the goalless draw at Lansdowne Road. Both were later substituted.
he Republic - with Chris Hughton as assistant manager - needed to win to guarantee at least a play-off spot but the draw left them third in table behind France and Switzerland.
Winger Andy created what turned out to be the best chance of the night when his inswinging corner was headed wide by Ian Harte
Elsewhere, Teemu Tainio played as Finland suffered a 3-0 defeat at home to the Czech Republic in Group One.
Edgar Davids came on in the 64th minute as Holland completed their successful qualifying campaign with a 0-0 draw against Macedonia in Amsterdam.
The 2006 World Cup dream is over for our Republic of Ireland contingent after they failed to beat Switzerland.