Most Australians oppose the recall of the nation's ambassador to Indonesia in response to the executions of Myuran Sukumaran and Andrew Chan, a new poll has found.

But one third of those surveyed would support a longer suspension of normal diplomatic relations with Indonesia.

Andrew Chan and Myuran Sukumaran. Credit:Anta Kesuma

A poll of 1200 people conducted for the Lowy Institute for International Policy suggest Australians would prefer a restrained response to the executions, and are concerned about damaging Australia's relationship with its northern neighbour.

"Despite strong opposition to the death penalty for drug trafficking, it seems that Australians are cautious about taking strong actions against Indonesia in response to the executions," Lowy Institute executive director Michael Fullilove said.