The deal does not fulfil their demands regarding the matter of internship postings for medical graduates.
The Labour court has given doctors and the government another 48 hours to negotiate a deal.
Kenya is grappling with a significant healthcare crisis as workers continue to strike, demanding better working conditions.
The Kenya Medical Practitioners Pharmacists and Dentists Union (KMPDU) underscored the enduring grievances against the government, which are yet to be resolved.
The government is seeking 30 more days for the negotiations, a period during which it wants doctors to provide minimum services.
KMPDU say they follow proper channels to ensure peaceful demonstrations but are met with threats of force and intimidation.
CS says striking doctors have attempted to intimidate and threaten violence against health workers who have opted out of the "unlawful" industrial action.
Like other cancer patients across the country, Florence is afraid that delayed treatment could dim her chances of successful treatment.
The doctors rejected the proposal, asserting that it did not meet the terms outlined in the 2017 Collective Bargaining Agreement (CBA).
Health Cabinet Secretary Susan Nakhumicha on Monday announced that the interns will report to their new station duties on April 1, 2024.