Born in Foinikas, Asia Minor, Kostas Malaxos-Alexanter's work has been published in English and Greek. He lived in Perth and Fremantle, working in various jobs as a labourer while he completed his high school studies. He returned to Greece briefly in 1926 but in 1927 he was living in London, returning to Perth in 1930. He gained a Bachelor of Arts degree from the University of Western Australia after which he taught English, French and Greek at high schools in Western Australia and in Melbourne.
In November 1938 Malaxos-Alexanter returned to Perth and taught English to immigrant children. During the Second World War he served as an interpreter and translator, then, following demobilisation, left for Greece where he lived for a decade before travelling to the United States, Canada and Europe, settling in London where he taught from 1955-1963. In 1963 Malaxos-Alexanter returned to Melbourne but again travelled back to Athens in 1965, trying unsuccessfully to settle there. He lived between Greece and Perth in the last years of his life dying in Perth after a long illness. A prominent figure in Greek-Australian literary circles, he initiated meetings for a group for young Greek writers in Melbourne in 1963, and in 1964 he founded the Association of Writers of the Australian Commonwealth which was the first Greek-Australian literary association.