Fred Matiangi Okengo, Henry K. Rotich, James Wainaina Macharia and Amb Amina Mohamed will be the first to be vetted by Parliament.
The president said the rest of the members will be announced at a later date.
Dr Matiang'i was the executive director SUNY Kenya, working as a liaison between USAID/Kenya and Parliament.
Mr Rotich worked at The Treasury as the head of Macro Economics.
Mr Wainaina was Managing Director at the NIC Bank while Ms Mohamed served as a diplomat in Geneva for many years and was one of the front-runners for the top World Trade Organisation job.
The public is also expected to participate in the vetting process with the Parliamentary Committee on Appointments collecting their views regarding the suitability or otherwise of the Cabinet nominees.
On Tuesday, Parliament approved a 28-member team, chaired by Speaker Justin Muturi, to vet the nominees.
Source: Daily Nation