"Charity and giving is an important part of Islam, and we are taught to help those in need regardless of their faith or background."
Trust secretary Mohammed Moses, 61, said the project was a "community effort" and the food was cooked at the home of one of its members.
"We Muslims are fasting for a reason, but there are others who are going hungry not by choice," Moses said.
"Ramadan is an important time for us to remember these vulnerable people."
Monique Marama, who has been having her meals at the mission for the last four years, said it was "a thrill" to be getting something different.
"Usually it's just bread and sausages, but we can't complain really because it still fills our stomach," Marama said.
"It's good curry, and we appreciate that the Muslims are doing this."
Rose Harrop, the mission's weekend team leader, said the trust was the second Muslim group to be serving meals at the mission.
"Hundreds of homeless people come to the mission's lunch kitchen for food, some for many, many years," she said.
"It offers warmth, food and companionship, and there's a sense of community but it's not possible to run it without our generous donors."
Harrop said the mission was thankful to the Mt Roskill Islamic Trust, who had said it intended to donate lunches to the mission on a regular basis.
When Eid ul Fitr falls depends on the sighting of the new crescent moon or "Shawwal".
Eid, which could be tomorrow, is considered the most important day in the Muslim calendar.
Ramadan, one of the five pillars of Islam, marks the holy month when Allah gave the Koran to Prophet Muhammad.
During the month, Muslims around the world fast between sunrise and sunset to learn about discipline, sacrifice and self-restraint.
Edwina Pio, AUT University Professor of Diversity, said Muslims have "peacefully co-existed" in New Zealand for more than a century.
According to the 2013 census, Muslims represented 1.07 per cent of the population with the majority being of Asian (63.1 per cent) and Arab (21 per cent) descent.