The governors started the push in earnest last month, saying the Kemsa monopoly was unfair to the devolved units.
Parliament last year gave Kemsa the monopoly to be the sole supplier of drugs to health facilities in the counties.
The House also introduced a jail term of two years or a penalty of Sh2 million for anyone who defies the decree.
Governors Tuesday resolved to procure medical supplies from other sources other than the government drug supplies agency, which they said was now unable to cater for their needs.
The resolution, following an extraordinary Council of Governors meeting, comes after a sustained push to quash the monopoly by the Kenya Medical Supplies Authority (Kemsa), which they said was hurting the devolved units.
