In a statement, the government agency listed Roysambu, Ruaraka, Embakasi South, Embakasi West, Embakasi Central and Kamukunji as areas that will be affected the most.
At the same time, the agency disclosed that some counties would experience rainfall in the next 24 hours.
The counties singled out include Narok, Nyamira, Nakuru, Kericho, Nandi, Homa Bay, Nyeri, Kakamega, Vihiga, Busia, Bungoma, Kisumu, Kisii, Siaya, Bomet, Elgeyo Marakwet, Baringo, Uasin Gishu, Trans-Nzoia, Muranga, Kirinyaga, Embu, Meru and Kiambu.
Other counties are Tharaka Nithi, Laikipia, Nyandarua, Nairobi and some parts of the Coast region.
Nairobians had suffered the cold weather in July but it had subsided overtime.
However, the Kenya Met department warned that the cold season would extend through the month of August and partly September.
To brave the cold weather, reports indicate that Kenyans can invest in warm clothes such as boots and jackets.
Additionally, it is important to take hot water and drinks such as tea and coffee.
Also, Nairobians can invest in heaters to keep a cold house warm as well as stay active to boost circulations.