The services will resume at different times in different parts of the province, depending on how they have managed the COVID-19 pandemic, Shandro said.
There were 54 people in hospital, six of whom were in intensive care, as of Friday.
The resumption follows an April 16 AHS announcement that maternity services at the two hospitals, including childbirth and inpatient obstetrical and neonatal care, would be consolidated to other Calgary hospitals to prepare for a potential spike in COVID-19 cases.
Health Minister Tyler Shandro announced Friday that non-emergency surgical procedures requiring a hospital stay would be offered in Alberta again beginning next week and two maternity wards that had been temporarily shuttered would reopen.
This is the first phase of Alberta's strategy to reopen its economy after flattening the curve on the pandemic.
Alberta Premier Jason Kenney updates media on measures taken to help with COVID-19, in Edmonton on Friday, March 20, 2020. The toll-free phone line is 1-833-379-0563.
More non-essential surgeries will resume and maternity services will return to two Calgary-area hospitals that had suspended their services in a bid to increase the number of beds available to COVID-19 patients.
There are 83 active cases and 621 recovered cases at continuing care facilities; 100 facility residents have died.
At its worst, Alberta saw 336 confirmed cases of the virus on April 23, and has been seeing a steady decrease in new cases ever since.
Dr. Howard Njoo, Canada's deputy chief public health officer, says public health officials anticipate the possibility of a second wave of COVID-19 this fall and winter. Lethbridge County has one recorded recovered case.
However, the hospitalization rates in Alberta remain low.
You can find Alberta Health Services' latest coronavirus updates here.
Online resources are available for advice on handling stressful situations and ways to talk with children.