Director of Cytogenetics Unit at the Royal Liverpool Hospital.
Served in the Royal Navy until 1944. Went on to attend Leeds University where he gained a BSc in Botany. Encouraged by Prof. Irene Manton he began to study the Cytogenetics of the genus Dryopteris. Later appointed Lecturer in the Botany Department of Liverpool University.
Became president of the British Pteridological Society. Founded the Department of Genetics with Prof. Phillip Sheppard at Liverpool University. 1963, Walker was appointed Senior Lecturer.
Founding member of the Clinical Genetics Society and a member of the Association of Clinical Cytogeneticists.
Under the supervision of Stanley Walker, Professor Mary Gibby studied for a PhD on biosystematics and cytogenetics of the fern genus Dryopteris at the University of Liverpool.