Moi, who died on Feb 4, aged 95, was the second and longest-serving President of Kenya from 1978 to 2002.
Osinbajo will be joining other African Heads of State and world leaders expected at the occasion scheduled to hold at the Nyayo National Stadium in Nairobi.
The vice president will be accompanied on the trip by senior government officials and is expected back in Nigeria on Tuesday.
He will be honoured with a state funeral on Feb 11, the government said Thursday.
Moi died on Feb 4 aged 95.
A memorial service will be held on Tuesday in the Nyayo national stadium in the capital Nairobi.
His body will be buried in his home area of Kabarak, 220km northwest of Nairobi.