The Commercial Bank of Ethiopia (CBE) Tower is 200 metres tall.
The twin-tower will provide 50,000 square metres of space out of which 30,000 will be sold to the public.
This is the biggest development of its kind in the Mount Kenya region.
The 88,000-square feet office park is expected to be completed in the first quarter of 2016.
The project is back on track after months of re-assessment of its development strategy.
The project is financed from the university's internal funds and donations.
The facility will house banks, exhibition halls, halal food outlets and venues for public lectures.
The provisional budget for the project has been set at Sh4 billion.
The office block adopts green architecture.
Trump who has several golf properties around the world is among 43 other interested parties.