While passes would be free, those New Zealanders who were successful in the ballot will need to make their own travel arrangements and meet all their own costs, Mr Woodhouse said.
The Returned Services Association said the Government's decision on the ballot had met what the organisation called for in its submission.
"It is appropriate that the descendants of those who served there are given an allocation of 200 places in the ballot," national president Don McIver said.
"Equally, today's veterans deserve the special recognition of their contribution to our military heritage alongside their Gallipoli forbears in serving the nation in conflict overseas."
New Zealand's passes will be allocated as follows:
* 75 per cent (750 double passes/1500 places in total) by ballot for all New Zealanders (including descendants and veterans who were unsuccessful in their specific ballot).
* 10 per cent (100 double passes/200 places in total) by ballot for direct descendants of Gallipoli veterans.
* 10 per cent (100 double passes/200 places in total) by ballot for veterans of all conflicts.
* 5 per cent (100 places in total) reserved for special groups such as youth representatives and children of Gallipoli veterans.