Antony Kay struck the winning penalty in a shoot-out to send Huddersfield through to the npower League One play-off final at Old Trafford on May 29.
The Terriers defender held his nerve to smash home high into the roof of the net to hand his side a 4-2 win on penalties after a 3-3 draw on the night and set up a showdown with MK Dons or Peterborough. The first leg had ended in a 1-1 draw.
Bournemouth, whose skipper Jason Pearce was shown a straight red card in extra-time, missed two of their four penalties in the shoot-out.
Huddersfield goalkeeper Ian Bennett saved Liam Feeney's effort and then Cherries midfielder Anton Robinson hit the crossbar, while Lee Novak, Danny Ward, Kevin Kilbane and Kay all scored.
Defender Lee Peltier's opener was cancelled out by Bournemouth striker Steve Lovell's penalty, but Danny Ward's fine individual effort sent the home side in 2-1 ahead at half-time.
Journeyman striker Lovell then fired his second of the night to haul Bournemouth level again just after the hour.
Cherries striker Danny Ings headed his side in front 14 minutes into extra-time, but Town defender Antony Kay crashed home another header in the 105th minute to ensure the tie went to penalties.
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