Experts believe that left cradling is the best way for a mother to notice and respond to a baby's behaviour, such as crying or laughter. In that position, important cues are directed to the right side of the mother's brain, the hemisphere that is used for emotional processing.
So cradling on the left gives the mother a faster way to pick up her baby's requirements.
"A significant population level preference for the position which facilitates the use of the left visual field in both mother and infant was revealed in walruses and flying foxes," said Dr Andrey Giljov, of St Petersburg State University, Russia.
"Our results show that the left-sided positional bias in face-to-face mother–infant interactions is not a unique feature of primate evolution, and occurs in different groups of mammals.
"This consistent pattern may have emerged owing to mutual perceptual benefits resulted from enhanced social processing by the right hemisphere."
Some parenting experts also believe that keeping a baby's head close to the mother's heart helps naturally soothe the child, which remembers the sound from being in the womb. Others claim the bias is based on handedness.
Left-handed women say they prefer to hold their infant in their stronger left arm. Right-handers argue it keeps their dominant hand free to attend to the child.
The research was published in Royal Society: Biology Letters.