She was born to Jewish parents, in London, UK in 1917. Her mother was Polish and father was a Russian. She studied painting, sculpture and design at St. Martin School of Arts, London. She converted to Islam at the age of 18 in 1935, before marrying Sheikh Ahmed, a would be Pakistani in October 1939. The couple moved to the Indian subcontinent in 1940-41 and settled in Lahore. Although, her marriage was over in 1951, but yet she lived in Pakistan with her two daughters. She was awarded Tamgha-i-Imtiaz, for her services in the field of fine arts education in the country. Professor Emeritus Anna Molka Ahmed set up a department, which has now become a center of excellence for Fine Arts in Pakistan. At the time of independence, there were only five or six Muslim students in the art department, and Anna Molka Ahmed went from one college to another seeking students for the arts department and thus was able to introduce art courses in the Punjab University. Her students became famous artists in the country and many of them are playing their role globally.
Beside painting, she was an avid gardener. She would wear her trade mark while tending the garden, cutting hedges in new and artistic pattern, and went on painting and gardening till the very last time until she was ordered by the doctors to stop because it was straining her health badly. Anna Molka also took to writing poetry in later part of her life. She breathed her last in 1994.