"I will try to keep quiet, though I can't make any promises. Please excuse me. And my mum prepared a little gift bag for you! It has some chocolate and candy. Enjoy your trip. Thank you."
Twitter users' opinions on the mum's thoughtful gesture were divided.
While everyone agreed it was a thoughtful thing for the mum to do, many thought it's a shame the mum felt the need to apologise on her baby's behalf.
"This is a beautiful gesture, but a parent shouldn't feel obliged to give presents to other passengers to pacify them, just because they are travelling with their young baby. Babies cry, we all know this," one Twitter user replied.
"Don't be the kind of traveller who thinks parents should apologise for babies being babies. Be the kind of traveller who saw me heading to the back of the plane and volunteered to take my baby for a cuddle and play so I could pee without balancing a baby on my knee," another person said.
"I so feel for the mother who, it would seem, was anxious about her baby being a baby on a flight," someone else replied.
Rueben Skipper, who posted the photo, said they were "a beautiful whānau".