Salah claimed he made countless calls to police who were slow to respond, and that an ambulance came an hour later.
Judge Zaman Mohd Noor sentenced Salah Salem Saleh Sulaiman, 46, after the accused, wearing glasses, a white robe, and a green skullcap pleaded guilty to the charges, read out in English. It carries a maximum penalty of six years in jail and a fine of RM500,000.
A court in Malaysia convicted a Danish national on Monday for inaccurately criticizing police on social media.
He said he posted the video in a "moment of anger" and acknowledged his wrongdoing. Critics say the law is aimed at curbing dissent and free speech ahead of Malaysia's May 9 general election.
Palestinian lecturer Fadi al-Batsh was shot dead by two men on 21 April.
"I agree I did a mistake because I didn't ask what the law of this country is", the news agency AFP quoted the Dane. "I seriously apologise to everybody in Malaysia, not just in the Malaysian police", said Sulaiman, a Danish citizen of Yemeni descent.
"The accused's action did not only injure the image of the Police and our country but also hurt the feelings of the victim's family members", she said.More news: Money in Budget for Barrier Reef
Salah reportedly said he didn't have money to pay the fine and will have to serve another month in jail instead. "The unsafe precedent should be overturned and this ill-conceived law repealed for the sake of press freedom".
Singapore and the Philippines are considering introducing similar anti-fake news legislation.
Malaysia's inspector-general of police, Mohamad Fuzi Harun, said a day after the shooting that their records showed a distress call was received at 6.41 AM and a patrol auto arrived at the scene eight minutes later.
A Malaysian media company filed a suit seeking to declare the law unconstitutional.
The bill-introduced by Prime Minister Najib Razak's government-criminalized any form of written, audio or visual publication deemed "wholly or partly false" concerning Malaysia or a Malaysian citizen.
After the bill was announced, opposition lawmaker Ong Kian Ming tweeted that "the point of such a law IS to prosecute truth tellers by labelling them as purveyors of fake news".