In 2011, he was elected to the Australian Academy of Science.

He was elected to the Australian Academy of Science in 1954.

He was elected into the Australian Academy of Science in 1956.

In 2008 she was elected to the Australian Academy of Science.

From 1957 to 1961, he was president of the Australian Academy of Science.

He was a foundation member of the Australian Academy of Art in 1938.

He is a member of the Australian Academy of the Humanities.

In 1993, he was elected to the Australian Academy of Social Sciences.

He was recently elected as a Fellow to the Australian Academy of Science (2010).

In 1937 Jackson helped found the Australian Academy of Art and exhibited there until 1946.