Using the name Leanne Teale, Homolka gave birth to a seven-pound baby boy Saturday at St. Mary's Hospital in Montreal.
Homolka and the baby's father took the newborn child to their bungalow on the Montreal South Shore Monday.
The couple plan to jet off to the Caribbean, where they will get married in the Antilles islands, sources told Journal de Montreal, but first they have to secure a passport for the baby.
It is not known if the couple is going to the West Indies only for marriage, or whether they plan to leave Canada forever.
According to an anonymous letter sent to the Journal, Homolka was first admitted to St. Mary's Hospital with contractions last Tuesday.
The contractions proved to be false labour and Homolka was released after a few hours.
She returned again Friday morning and gave birth the next day.
"The baby had the umbilical cord rolled up around the neck, which complicated things a little," a source said.
St. Mary's Hospital officials said yesterday they will probe claims that hospital staff recognized Homolka and initially refused to give her treatment.
The confirmation of Homolka's baby comes despite denials by Homolka's sister and her lawyer, Sylvie Bordelais. Sources told the Journal Homolka was introduced to the baby's father by Bordelais.
"I do not know anything," Bordelais said, other than what she read in yesterday's Toronto Sun.
As reported by Sun Media yesterday, rumours surrounding Homolka's motherhood have run rampant since the weekend.
Homolka, 36, spent 12 years in prison for her part in her ex-husband Paul Bernardo's sex murders of teens Leslie Mahaffy, 14, and Kristen French, 15, and the fatal drug rape of her own sister, Tammy, 15.
Homolka pleaded guilty to two counts of manslaughter and accepted the prison term in exchange for her testimony against Bernardo at his first-degree murder trial.