Two premature babies died after an outbreak of Staphylococcus aureus bloodstream infection at Princess Royal Maternity Hospital
An incident management team was set up to investigate three cases of Staphylococcus infection in the Glasgow hospital neonatal unit.
Infection was one of the contributing causes in both deaths, with NHS Greater Glasgow and Clyde saying that two of the babies were extremely poor due to their very early birth.
The third premature infant who tested positive for Staphylococcus aureus required treatment for the bacterium and is in stable condition.
Dr. Barbara Weinhardt, an infection control doctor, said: "Our thoughts are with families affected.
"The results confirmed today that the three cases of Staphylococcus aureus are linked and our investigations continue in how they are linked.
"Staphylococcus aureus is a bacterium that is found in the skin and nasal passages of about one in four people and only causes infection when it enters the body.
"In cases where people are vulnerable to infection, this can cause a serious infection.
"We take a number of control measures in the unit, including a deep cleaning, isolation and barrier, nursing summaries for all staff and infection control advice for all visitors."
Alan Mathers, Chief of Medicine, Women and Children's Service, added: "National guidance states that an investigation should be triggered when two or more cases of the same type of bacteria are found.
"In this case, this was triggered on January 24 and an incident management team (IMT) meeting was called.
"The IMT initiated its investigations into possible links between the three cases and sent samples for testing.
"While these results were expected, we talked to the affected families, along with the unit's parents and staff, to let them know about our investigations.
"The results that came back today confirmed the links between the three cases.
"Our infection control team continues to work closely with clinical colleagues and domestic staff to manage the situation and take all necessary steps to maintain patient safety."
Dr. Lisa Ritchie, Nurse Consultant in Infection Control, Scottish Health Protection, said: "Health Protection Scotland is supporting the NHS Greater Glasgow and Clyde to ensure that all precautionary and control measures are taken in guidelines. "