Hamish Marshall was three not out and captain Stephen Fleming unbeaten on one after Glenn McGrath had dismissed Craig Cumming for a duck and James Marshall for three.
Earlier, Australia were bowled out for 383 in reply to New Zealand's 292.
Adam Gilchrist cracked 60 not out from 62 balls while Kiwi paceman James Franklin produced career-best figures of six for 119.
Scorecard:
New Zealand first innings 292
Australia first innings (overnight 219-4)
J.Langer b Franklin 6
M.Hayden lbw b Franklin 38
R.Ponting c McCullum b Astle 105
D.Martyn b Wiseman 38
M.Clarke run out 22
J.Gillespie c McCullum b Martin 35
S.Katich c Wiseman b Franklin 35
A.Gilchrist not out 60
S.Warne c Fleming b Franklin 1
M.Kasprowicz b Franklin 23
G.McGrath c McCullum b Franklin 0
Extras (b-4 lb-7 nb-9) 20
Total (all out, 118.1 overs) 383
Fall of wickets: 1-8 2-84 3-187 4-215 5-226 6-297 7-297 8-303 9-377
Bowling: Martin 21-4-92-1 (nb-3), Franklin 26.1-3-119-6 (nb-5), Astle 21-7-50-1, Vettori 19-4-47-0 (nb-1), Wiseman 31-7-64-1
New Zealand second innings
C.Cumming lbw b McGrath 0
J.Marshall c Langer b McGrath 3
H.Marshall not out 3
S.Fleming not out 1
Extras (lb-4) 4
Total (for two wickets, 4.5 overs) 11
To bat: N.Astle, L.Vincent, B.McCullum, D.Vettori, J.Franklin, P.Wiseman, C.Martin
Fall of wickets: 1-0 2-9
Bowling: McGrath 2.5-0-7-2, Gillespie 2-2-0-0
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