By Tom Gillespie @TomGillespie1
Scroll down for the full story
One of the ellies appears to try and climb on the other one's back, before tumbling backwards and landing on the floor.
Safari guide Hagai Zvulun was on holiday with his two daughters when he spotted the young animals in Tarangire National Park in Tanzania.
He said: "We spent roughly two hours with a breeding herd of elephants including four mature females with offspring.
"Three had young babies that were three to five months old.
"The whole family stopped to feed and slowly became more and more confident, spreading further away and allowing the babies to run amok.
"They kept investigating us, coming closer and trying to get our smell and a better idea of what we were.
"It was very endearing to see the mums letting them get so close to us without throwing a fit - which is a very elephant thing to do."
The amateur photographer and his two daughters took photos of the encounter together, with 16-year-old Shy capturing the images of the baby mammals playing.
Hagai's 12-year-old daughter Dana also took photos of the charming scene.
Hagai, 46, owns safari company Matembezi in Tanzania, but took the images on a family outing.
He added: "We were very thrilled, we spend lots of time observing wildlife and there are moments where everybody is just enthralled and you just know you have a special moment on your hands.
"Being so close and seeing a family interact so freely and naturally with one another and allowing you into their midst is the best wildlife moment you can expect.
"Elephants are so very human that you feel instinctively that you understand the dynamics of the family, and there are just so many parallels you can draw to our own behaviour."
The photos were taken on July 24 of this year but have only surfaced now after Hagai chose to share them on a blog post.