Kerr, who is married to English actor Orlando Bloom, delivered her first-born in a Los Angeles hospital.
The arrival was confirmed yesterday by a close friend of the couple.
While the 27-year-old has yet to make an official announcement, residents in her home town of Gunnedah, in north-western NSW, were among the first to learn of the news.
Mayor Adam Marshall said: ''I was walking through town to pick up the papers and discovered Miranda's terrific news had already, very quickly, made it into the local coffee shops.''
While it remains unclear where the couple will raise their child, Kerr tweeted recently that the baby would be ''Aussie through and through''.
The birth marks a positive end to a traumatic week for Kerr's family.
Miranda Kerr Orlando Bloom Boy
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