Ralph Regenvanu said the main food push started in the middle of last week, with only a small amount of supplies being handed out in the immediate aftermath of the severe back-to-back cyclones.
He said there's been logistical issues in getting the food distributed, but dry rations should reach everyone in the two worst affected provinces, Shefa and Tafea, by the end of this week.
"It's not really ideal but it's still within the timeframe we've set which is three weeks from the cyclone and those three weeks end about now," Regenvanu said.