The handover in the town of Agulae, around 30 km (18 miles) northeast of the regional capital Mekele, was overseen by a monitoring team comprising members of the two sides and a regional body, the Intergovernmental Authority on Development (IGAD).
At the ceremony, Tigray Defence Forces (TDF) representative Mulugeta Gebrechristos said the start of the disarmament would play a major role in restoring peace.
"We are operating with the belief that if we are to have peace, all things that open the door for provocation must not be there. Peace is vital for us all," Mulugeta said in a speech broadcast on Tigrai TV.
"We are all (part of) one Ethiopia. Both us and the TDF have moved from our respective defensive positions in peace, understanding and love," said Aleme Tadesse, a representative of the Ethiopian army.
The demobilization of Tigray forces is seen as central to the Nov. 2 ceasefire agreement, alongside the restoration of services, resumption of humanitarian aid and withdrawal of Eritrean troops, who fought alongside Ethiopia's army but were not party to the truce.
The conflict created famine-like conditions for hundreds of thousands of Tigray's population, killed thousands and displaced millions across northern Ethiopia.