Prior to Moges' announcement about the black box data, the FAA said that evidence from the site of the plane's impact, coupled with satellite data tracking the aircraft's flight path, showed similarities with the Lion Air incident.
Shortly after takeoff, both crews tried to return to airports but crashed.
The crash was the second tragedy involving a Boeing 737 MAX 8 aeroplane within five months, after a Lion Air flight crashed into the Java Sea off Indonesia shortly after take-off in October, killing 189 people.
Dagmawit Moges told reporters the Ethiopian government intends to release detailed findings within one month.
Ethiopian Airlines employees held a memorial service for deceased colleagues and passengers on Friday.
Regulators have grounded the 737 MAX around the world, and the USA planemaker has halted deliveries of the several thousand on order for a model meant to be the future industry workhorse.
Both data and voice recorders from the crashed aircraft have been sent to France for further investigation into what caused the tragedy.
In the absence of a body, the Ethiopian carrier offered bereaved families charred earth from the plane crash site to bury.
The Boeing 737 Max plane, which carried at the time 149 passengers and 8 crew members, is thought to have experienced the same technical issue that crashed an Indonesian airliner past year of the same manufacture, killing 189 people.
At present, Boeing is continuing to make 737 MAX models, despite it placing a global ban on all flights of the aircraft.
The US-based manufacturer said that its Manoeuvering Characteristics Augmentation System (MCAS) - a feature installed on its 737 MAX series of passenger aircraft to prevent stalls, low-speed, and nose-up flight - is in the final stages of being updating, AFP Reported Sunday.
This may have led pilots to struggle with the controls and lose altitude.
In a statement, he added that Boeing was going ahead with a software update that would address the behaviour of the flight control system "in response to erroneous sensor inputs".
Boeing said it supports the grounding of its planes as a precautionary step but reiterated "full confidence" in their safety.
The FAA said on Thursday that all 787 MAX planes would remain grounded until a software upgrade to the MCAS could be tested and installed in all of the planes.
Boeing however, said that it would still continue building the planes which came as a good news for thousands of the company's employees - machinists, technical employees and supervisors - who work on the assembly line in Renton, Washington, CNN reported.