Water swept away numerous homes and businesses after breaking through the Patel Dam in Solai, about 150 kilometers northwest of Nairobi.
Up to 40 people have been rescued from the mud and taken to hospitals but many more are feared to still be trapped.
At least 113 people have died in the last two months and another 260,0000 displaced as raging floods wreak havoc across the country.
Last week, the Kenya Red Cross said that at least 21,000 acres of farming land has been submerged in water with an estimated 20,000 animals killed. "They found his body in the morning". Officials said homes over a radius of almost 2 kilometers (1.2 miles) were submerged.
Villagers said it started with a loud rumble, then houses collapsed one by one under an approaching wall of water.
"The death toll from this incident stands at 41 as at now", Gideon Kibunjah, head of the Directorate of Criminal Investigations in Rift Valley told Capital FM News late Thursday after visiting the scene of the tragedy. He was blind so he could not run. Kenya Red Cross said on Twitter it had rescued 39 people. "My other neighbors also died". There is another dam which is also overflowing which is looking risky.
And yet weather experts are warning of more heavy rains in the next few days in an unusual departure from traditional weather patterns.
The death toll from a burst Kenyan dam has risen to 32, interior ministry spokesman Mwenda Njoka said on Thursday.
"The water has caused huge destruction of both life and property". The floods hit as the East African nation was recovering from a severe drought that affected half of the country.
Nakuru governor Lee Kinyanjui said 450 homes had been hit by the floodwaters and safety engineers had been sent to inspect three other dams to check for cracks or breaches.
The Kenya Red Cross estimates that up to 500 families are affected in the tragedy described by Interior Cabinet Secretary Fred Matiangi as a 'disaster'.