birth at 9.36 p.m. to a boy weighing almost 3 kg and both the mother and child are "in perfect health", the communique stated.
Singer Shakira (R) embraces her boyfriend, Barcelona player Gerard Pique during her concert in Barcelona.
Shakira was admitted to the private Teknon clinic at 6.30 p.m. accompanied by her boyfriend, F.C. Barcelona soccer star Gerard Pique.
In the communique, the couple and the family said: "We are happy to announce the birth of Milan Pique Mebarak, son of Shakira Mebarak and Gerard Pique ... The name Milan (pronounced MEE-lahn), means dear, loving and gracious in Slavic; in ancient Roman, eager and laborious; and in Sanskrit, unification".
Since early Tuesday morning, numerous reporters and photographers had remained on alert outside the clinic, given recent rumours that this would be the day the child would be born.
On Tuesday morning, before the birth, Shakira had tweeted, "I'd like to ask you all to accompany me in your prayers on this very important day of my life."
The baby was delivered by previously-scheduled Caesarean by a medical team headed by Dr. Carlota Garcia-Valdecasa.
Shakira, 35, last appeared in public Jan 14 at the Casa del Libro in Barcelona, where she attended the presentation of a book written by her father, William Mebarak.
FALSE RUMOUR: Shakira's baby birth news a prank?
Shakira's boyfriend Gerard Pique reportedly seems to have pulled a prank by announcing the news of the Colombian singer giving birth to her first child on Friday.
Pique announced the birth of their son on his Twitter page early Friday morning, which is the day of Dia de los Innocentes, Spain's equivalent to April Fool's Day, reported New York Daily News.
"Our son has been born! We are very happy! Thanks to all for your messages," the Barcelona FC player, 25, wrote in Spanish.
The timing of the announcement has prompted speculation that Pique has pulled a fast one, since Shakira, 35, has not confirmed the news.
Pique later seemed to be letting fans know it was a joke by tweeting, "He already has a name! He is called Innocent! Happy Day of the Innocents to all!"
Shakira revealed her pregnancy last September when announcing the cancellation of a Las Vegas gig.
The singer began dating sportsman Pique in 2011 after splitting from her longtime boyfriend Antonio de la Rua.
MUST SEE! Shakira posts bare baby bump pic on Twitter
Pregnant pop sensation Shakira has shared her growing belly picture on micro-blogging site Twitter.
In the photo, the 35-year-old Colombian singer lies on her boyfriend, 25-year-old soccer player Gerard Pique, with her back on his chest. The parents-to-be were all smiles in front of the camera, reported Ace Showbiz.
The athlete wore a blue t-shirt, while the Waka Waka hitmaker was seen in a red top with its hem coming just above her rounded tummy.
"I could have another 9 months like this!," she tweeted a caption along with the picture. BABY BUMP
Pregnant Shakira and beau Gerard Pique `want more than one child`
Shakira, who is pregnant with her first child her soccer-star beau Gerard Pique, is said to be already planning for a second one.
The singer took to her Facebook page September 19 to announce that she is expecting a baby.
Now, a source close to the singer has revealed to Us Weekly that she and her Pique are already planning for a sibling for their yet-to-be-born baby boy. READ MORE