Australia looked set for a 300-plus total but Vettori and Bond helped slam on the brakes in the middle stages on an excellent Eden Park batting surface.
Vettori snared the big wickets of Ricky Ponting and Brad Haddin in his figures of two for 43 off 10 overs while Bond returned for a sharp second spell to remove Michael Clarke and topscorer Michael Hussey amid figures of two for 42.
Vettori defied a painful neck injury to take his place in the side after missing the two-wicket win in Napier.
The injury stopped him batting or bowling at training, but he said at the toss he pushed himself to take part after batsman Ross Taylor was ruled out due to a hamstring strain suffered in Napier.
It meant a callup for Auckland wicketkeeper-batsman Gareth Hopkins, who took the gloves with Brendon McCullum nursing a sore back but passed fit to bat.
And there were more injury dramas late in the innings as James Franklin strained a hamstring while dismissing Cameron White and limped off, leaving Scott Styris to complete his over.
As in Napier, it was a case of several Australian batsmen getting starts but not going on to big scores.
Hussey topscored for a second straight match with 56 while White (54) and Haddin (53) also notched half-centuries. Hussey and White hauled Australia up from 116 for four with a partnership of 101 off 19 overs.
After Ponting won the toss, Australia made another solid start with Haddin and Shane Watson adding 73 off 13.4 overs for the first wicket.
Daryl Tuffey broke the stand, removing Watson caught on the mid-wicket boundary for 47.
Vettori introduced himself in the 15th over and had success with his fifth ball when Ponting played an ordinary slog sweep and skied a catch to McCullum.
Haddin hit three fours and three sixes in his 62-ball knock before Vettori removed him thanks to a brilliant one-handed return catch.
Bond returned to dismiss an out-of-sorts Clarke, then Hussey and White revived the innings before they skied catches to depart within three overs of each other.
Australia added only 41 off the five-over power play between overs 44 and 49.
