Surveillance footage taken inside his mom's enclosure shows the youngster landing safely on deep sand before getting to his feet. Video taken later in the day shows the calf trotting around his home.
The rhino was born to 13-year-old Ema Elsa after a 15-month pregnancy, according to the zoo.
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Rare black rhino takes his first steps just moments after being born
A rare albino buffalo (C) grazes next to its mother (L) in Hellsgate national park in Naivasha after it was discovered by wardens. Kenya Wildlife Service said that this is the first ever albino buffalo found in the country's park as albinism in wild animals is very rare. Scientists say that though the animal is in good health, it's an easy target as it stands out due to lack of colour pigmentation. (Photo via AFP/Getty Images)
A young female albino alligator is seen on March 26, 2014 at the park 'La planete des crocodiles' in Civaux, near the French western city of Poitiers. (Photo by Guillaume Souvant, AFP/Getty Images)
A zoologist holds an albino blackbird (L) and a normal blackbird, at the animal rescue station in Bartosovice, Moravia. There are maximum several dozens of albino blackbirds in Europe. In nature, most of them do not survive because others attack them. This first in Czech Republic albino blackbird is one month old and was found in a park. (Photo by Radek Mica, AFP/Getty Images)
A white peacock opens its feathers in a cage in the Nehru Zoological Park in Hyderabad on June 9, 2011. The peacock is the national bird of India and the white peacock is often mistaken for an albino, but it is in fact a recessive mutation. (Photo by Noah Seelam, AFP/Getty Images)
An albino hedgehog sits on a palm of in a Zoo keeper in the Botanical Garden (Dendrarium) in the Russian Black Sea resort of Sochi, on September 5, 2001. The hedgehog was found at one of the construction sites of the 2014 Winter Olympics. (Photo by Mikhail Mordasov, AFP/Getty Images)
Photo dated 14 September 2003 shows 40-year-old Copo de Niebe (Snowflake), the only albino gorilla in the Barcelona zoo, Spain. Zoo specialists said that the gorilla was suffering from leather cancer and that his life expectancy is of about three months. (Photo by Cesar Rangel, AFP/Getty Images)
An albino kangaroo named Nala (L) jumps around its enclosure at the zoo in the northern German city of Duisburg on October 11, 2012. (Photo by Roland Weihrauch, AFP/Getty Images)
Albino porcupine isolated on black background. (Photo via Getty)
Male albino lion with his lioness, relaxing in the sun. (Photo via Getty)
Albino mouse. (Photo via Getty)
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An albino loggerhead sea turtle is seen at the Tamar Project (The Brazilian Sea Turtle National Conservation Program) headquarters in Praia do Forte, Bahia state, Brazil, on December 13, 2013. The Tamar Project works on the protection and research of the five endangered sea turtles species in around 1100 km of Brazilian coastal beaches. AFP PHOTO / YASUYOSHI CHIBA (Photo credit should read YASUYOSHI CHIBA/AFP/Getty Images)
A rescued albino blackbird is pictured at the animal rescue station in Bartosovice, Moravia. There are maximum several dozens of albino blackbirds in Europe. In nature, most of them do not survive because others attack them. This first in Czech Republic albino blackbird is one month old and was found in a park. AFP PHOTO/ RADEK MICA (Photo credit should read RADEK MICA/AFP/Getty Images)
A albino king snake is pictured at the terrarium fair in Berlin,Â on February 2, 2013. Around 50 exhibitors are taking part in the trade fair for lizards, snakes, spiders, animal food and trade literature. AFP PHOTO / MAURIZIO GAMBARINI GERMANY OUT (Photo credit should read MAURIZIO GAMBARINI/AFP/Getty Images)
A white albino buffalo named Dakota Miracle grazes in a pasture September 30, 2010 at the National Buffalo Museum in Jamestown North Dakota. The herd of about 30 buffalo boasts three white buffalo that are a big attraction for the museum not only because of the rarity of an albino buffalo but also because of the sacredness that some Native Americans place on a white buffalo. AFP PHOTO/Karen BLEIER (Photo credit should read KAREN BLEIER/AFP/Getty Images)
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Eastern black rhinos are critically endangered in the wild. There are less than 650 believed to be in existence.
"The footage picked up by our CCTV cameras gives us a rare glimpse of a momentous event," said Tim Rowlands, curator of mammals at Chester Zoo. "These animals are on the very brink of extinction and our new arrival is hugely important to the conservation of the species."
He added: "Ema Elsa is an experienced mum. She has given birth twice before at the zoo and this was another perfect delivery. It's important now that she and her new calf have some quiet time together to strike up those vital early bonds."
Ema Elsa's other two calves, Bashira and Chanua, both live at the zoo. The newborn's dad, 31-year-old Kifaru, moved to the zoo in 2014.