4 January 1978
Daniel Arap Moi was elected President of Kenya in what would be his twentieth year in office since his swearing in, in 1978 following the death of Mzee Jomo Kenyatta.  
References

Britannica, (2012), Daniel arap Moi (President of Kenya), from Britannica, 06 April [online], Available at www.britannica.com [Accessed: 03 December 2013]