After several failed attempts to touch down at Tegucigalpa airport, where military vehicles were placed on the runway, the plane eventually flew to Nicaragua, where Mr Zelaya met President Daniel Ortega.
The deposed Honduran leader went on to El Salvador where he was due to meet the presidents of Argentina, Ecuador and Paraguay and the head of the Organization of American States (OAS).
The new government, which said it came to power through due legal process, is offering to negotiate with the international community, the BBC's Stephen Gibbs reports from Tegucigalpa.
But it says one thing is not negotiable and that is the return of Mr Zelaya to the presidency, our correspondent says.
As the plane was flying towards Tegicugalpa, troops in riot gear fired tear gas at thousands of Zelaya supporters, some of whom reportedly hurled stones.
President Zelaya planned non-binding public consultation on constitutional change
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