Oliver Allen had fired Blues into a 1-0 lead half-an-hour into the game at Damson Park but The Terriers drew level almost straight from the restart through James Hand.
The visitors then took a one goal advantage early in the second period through John McAliskey.
However, Asa Hall grabbed a late equaliser to earn Keith Bertschin's side a share of the spoils and keep their unbeaten start to the season intact.
Blues Res: Legzdins, Howell, Painter, Oji, Blake, Asa Hall, Till, Kilkenny, Aluko, Allen, Birley.
Huddersfield Res: Rachubka, Young, Hand, Clarke, Hardy, Skarz, Berrett, Wilson, Abbott, McAliskey, Hallam.