The children, one seven and one eight- years-old also reportedly said that Cheeks claimed they couldn't sit inside the trucks because there wasn't enough room.
She is now facing two charges of child endangerment.
"Many have inquired about a viral video from Saturday that shows two children being transported in pet kennels", the Memphis Police Department said.
She told the children to get in the kennels because there wasn't any room left in the Ford Explorer, according to a police report.
Temperatures on Saturday reached 95 degrees, according to CBS.
Neighbors of Leimome Cheeks expressed shock, saying she was a 'very nice woman'. She seems like a nice lady.
She was arrested on two counts of child endangerment and was later released on bond.
Ms Cheeks can be seen opening the cage doors to the kennels as the children hop out.
A concerned citizen shot the video and forwarded it to the police.
One neighbor told Local 24 it was "very sad because it feels like hell right here now, it's very hot".
Cheeks admitted that she drove the children in the kennels from Whitehaven to Collierville, which is a 35-minute ride.
Police are continuing to investigate.
A Tennessee woman accused of driving her two young grandchildren around in pet kennels is scheduled to appear in court. Police said the back of the vehicle did not have any air vents, according to the Commercial Appeal.
Cheeks was being held on Sunday in the Shelby County Jail.