The Japan Football Association (JFA) had hoped to host the March 25 match in Shizuoka, and New Zealand in Tokyo four days later, to "rally the nation".
The match against Montenegro should have been a celebratory occasion with the Blue Samurai playing their first match at home since winning a record fourth Asian Cup in January.
"We have decided to hold a charity match at Nagai Stadium on March 29," the Kyodo news agency reported Ogura as saying.
"Details still need to be sorted out but we hope to play New Zealand, which like Japan has also suffered damage from a big earthquake," Ogura said, referring to the 6.3 magnitude earthquake that struck Christchurch last month killing at least 166 people.
"Coach (Alberto) Zaccheroni and the Japan national team players have said they want to do something to help the victims of this disaster."
"Japan is facing a very tough time right now and we very much want to give the people something back in return, however small," Hasebe said.
"There's a huge desire to show solidarity with the Japanese people but we need to be able to guarantee the safety of our players and staff, as would any responsible organisation," New Zealand Football chairman Frank van Hattum said.
"We are currently working with the Japanese FA and the appropriate government authorities to confirm whether those guarantees can be provided."
