The project is being developed in two phases at a cost of Sh1.07 billion.
The museum will be complemented by a rooftop garden with a viewing deck.
Over the last four years land cost in parts of Nairobi has shot up by a thousand per cent.
Oversupply is likely to result in fierce competition for clients.
The luxury homes are centred around waterholes and salt licks.
The project has been in the pipeline since 2008.
The park will cover over 1.5 million square feet initially, and consist of four zones.
The billionaire has developed plots within Nairobi's Westlands and Upper Hill areas.
Nairobi is currently enjoying a huge demand for high quality office space.
Hope City will be built in an area of about 1.5 million square meters.