There is a New Zealand embassy in Cairo but their offices weren't open on Friday morning local time.
Messages have been left with the Ministry of Foreign Affairs and Trade.
Officials in Egypt said the balloon crashed carrying the group of tourists, after strong winds forced the balloon off course.
There were reports that up to 12 people were injured.
An Australian woman onboard the balloon reported on Facebook that she had "bumps and bruises" after the crash, and would "probably never set foot in another hot balloon ever again".
"I feel lucky to have walked out of this traumatic experience, a scary freak accident," she wrote.