India, who dominated the match throughout, fought back in a remarkable fashion from a goal down in the first half and took the lead twice only to be denied a win in their last Pool B match by poor defending.
India scored through Mandeep Singh (46th), V R Raghunath (47th) and Kothajit Singh (53rd) while Marcus Child (6th), Stephen Jenness (51st) and Blair Hilton (66th) found the target for New Zealand who are the higher-ranked side at number sixth.
The Indian defence manned by Raghunath, Rupinderpal Singh and Sandeep Singh were found wanting in New Zealand counter attacks as the Balck Sticks scored twice in such fashion.
With today's draw, their second in the tournament after their 4-4 result against Ireland in the campaign opener, India ended their pool engagements with two points from three matches.
The Sardar Singh-led side now face the prospect of playing Pool A winners Belgium or runners-up Australia in the knock-out phase which begins on Wednesday.