It featured Mr Obama’s correct date of birth and includes the masthead: “Coast Province General Hospital, Mombasa, British Protectorate of Kenya”.
Alongside the picture, he wrote: “Surely. What’s this?”
Malik Obama has repeatedly pedalled "birther conspiracy" claims that the politician was born abroad.
The 55-year-old former president has been dogged with questions about his birthplace since his US Senate campaign in 2004.
The issue, along with questions about his religion, have been frequently discussed matters within right-wing circles and conspiracy theorists, although they have mostly been limited to fringe Conservative news websites.
The unfounded rumours were largely meant to call into question the legitimacy of his presidency. All US presidents must be born in America, according to Article Two of the country's constitution.
Pennsylvania Democrat Philip J Berg also attempted to sue him over his birthplace in 2008 and Donald Trump was vocal about the issue for more than five years before he publicly acknowledged last September that Mr Obama was born in the US.
To silence the rumours, Mr Obama published his birth certificate in 2008, which gives Hawaii as the place of birth, and his long-form certificate in 2011.
These were confirmed by the Hawaii Department of Health and corroborated by contemporaneous birth announcements published in local newspapers.
The document tweeted by Malik Obama appears to be the same forgery that right-wing blogger Lucas Smith tried to sell on eBay in 2009.
The website removed the page because of its policy of barring its users from selling purported government documents.
Malik Obama has nonetheless embraced the unfounded claims and has made a string of wild and bizarre accusations about his half-brother.
He once told American filmmaker Joel Gilbert that Mr Obama’s real father was socialist thinker Frank Marshall Davis.
Asked to comment on the supposed birth certificate by The Independent, he demanded $10,000 (£8,200) to speak.
Joe Biden and Barack Obama through the years
Joe Biden and Barack Obama through the years
Joe Biden and Dr Jill Biden watch Barack Obama's farewell speech on 11 January. Obama called Biden his 'brother'
US President Barack Obama speaks alongside US Vice President Joe Biden about the Affordable Care Act
Vice President Joe Biden and President Barack Obama
President Obama listens to Joe Biden speak of his work on defeating cancer on 18 October in the White House
U.S. President Barack Obama is applauded by House Speaker Paul Ryan and Vice President Joe Biden while delivering his final State of the Union address to a joint session of Congress in Washington
U.S. Vice President Joe Biden interjects as President Barack Obama delivers remarks at a reception for the 25th anniversary of the White House Initiative on Educational Excellence for Hispanics at the White House in Washington
Obama and Vice President Joe Biden react after a heckler was removed for their extended interruption (Reuters)
U.S. President Barack Obama shakes hands with Speaker of the House John Boehner (R) as Vice President Joe Biden looks on
Barack and Michelle Obama and Vice-President Joe Biden observing a moment of silence outside the White House to mark the 13th anniversary of the 9/11 attacks
Barack Obama and Joe Biden putt on the White House putting green
President Barack Obama and Joe Biden in April 2013
January 1, 2013: U.S. President Barack Obama winks as he arrives with Vice President Joe Biden (L) in the briefing room
President Barack Obama, Vice President Joe Biden and others receive an update on the mission against Osama bin Laden in the Situation Room of the White House May 1, 2011 in Washington, DC
Vice-President Joe Biden, right, confirmed that the US was looking at ways of taking legal action against Julian Assange - back in December 2010
Joe Biden, left, and retired military officers watch President Barack Obama sign orders to close down the detention centre at Guantanamo Bay, Cuba, in January 2009
In a separate interview, he told ITV’s Good Morning Britain that he has to queue up like everyone else to speak to Mr Obama.
Black Republican radio show host Wayne Dupree responded to his tweet yesterday.
He said: “That’s old… he’s out of office now… moving on right? You really think a Republican congress is going to do something… Send it up… I’ll watch.”
A Phoenix sheriff has also insisted Mr Obama's birth certificate was "fake" after allegedly investigating for five years.Reuse content