"FLOTUS meets an Elephant in the most successful orphan-elephant rescue and rehabilitation program in the world," State House Secretary Digital Dennis Itumbi said in his Twitter handle.
Melania who wore a brown trouser, white blouse and maroon boots was seen holding the ear of the elephant and she looked at it keenly.
She later fed the elephant with milk accompanied by First Lady Margaret Kenyatta who also touched and admired the Jumbo.
This attracted other elephants who were seen trooping in to get a feel of the guests and also be fed on milk as they left a cloud of dust behind
At one point a Secret Service agent was forced to step forward to protect Melania after being nudged by a baby elephant she petted.
The agent was seen holding Melania from the back as she protected her.
The Wildlife Trust is one of the pioneering conservation organisations for wildlife and habitat protection in East Africa.
Melania and her host are expected to head to State House for talks before going to the Kenya National Theatre where they will be treated to Kenyan creative cultural performances.
Police have already closed The Harry Thuku road ahead of her arrival at the Theatre
Melania landed at JKIA on Thursday night having concluded her trip to Ghana and Malawi. She is on her first solo tour of Africa.
She is set to champion for her "Be Best" initiative, whose goals are similar to those of Margaret's Beyond Zero.
The two first ladies are expected to work on a plan that will see the two initiatives complement each other.
The US first lady left Malawi on Thursday afternoon and is set to also tour Egypt after leaving Kenya.