A gunman opened fire at a Copenhagen synagogue hours after a shooting at a free-speech event in the city on Saturday.
At the synagogue, one person was shot in the head and later died while two police officers were shot in the arms and legs, the Associated Press reports.
The suspect fled the scene on foot.
Danish police said that it was too early to say whether the shooting at the synagogue and the deadly attack at a Copenhagen cultural center are related.
Earlier on Saturday, a civilian was killed and three police wounded when a masked gunman shot at the windows of the Krudttoenden cafe in a Copenhagen.
The venue was holding a free speech event attended by Swedish artist Lars Vilks, who stirred controversy in 2007 with his drawings depicting the Prophet Mohammad as a dog.
The gunman used an automatic weapon to shoot through the windows of the Krudttoenden cultural center, according to police, and fled in a dark Volkswagen Polo that was later found empty on the outskirts of Copenhagen.
Media reports and witnesses on Twitter described the attack, saying between 20 and 40 shots were fired from an automatic weapon. Television footage showed windows of the arts center and cafe riddled with bullet holes.
French ambassador to DenmarkFrancois Zimeray, who also attended the event, compared the shooting to last months attack on the French satirical newspaper Charlie Hebdo in Paris by Islamist militants.
"I'm still a bit stunned. I was inside, I had just sat down after my speech and then I heard shots," Zimeray told French news channel TF1.
Danish officials have described the shooting as an act of terrorism and an assassination attempt, ABC News reports.
"We feel certain now that it was a politically motivated attack, and thereby it was a terrorist attack,"Prime Minister Helle Thorning-Schmidttold journalists close to the site of the attack.
President Obama was informed of the attacks and released the following statement: "The United States condemns today’s deplorable shooting in Copenhagen. We offer our condolences to the loved ones of the deceased victim, and our thoughts are with those wounded in this attack. We have been in close contact with our Danish counterparts and stand ready to lend any assistance necessary to the investigation."
Officials released a security camera image of the alleged suspect wearing a dark coat and a red hat and scarf covering much of his face.
No suspects have been apprehended, and the center of the city is on lockdown as military and police search for the gunman or gunmen.
In January, 17 people were killed in France in three days of violence that began when two Islamist gunmen burst into the Paris offices of the satirical weekly Charlie Hebdo, opening fire in revenge for its publication of satirical images of Mohammad.
Vilks, who drew Mohammad as a dog in 2007, has received numerous death threats and has lived under the constant protection of the Swedish police since 2010. Two years ago, an American woman known as Jihad Jane was sentenced to 10 years in prison for plotting to kill him.
(Reuters reporting by Sabina Zawadzki and Ole Mikkelsen, Teis Jensen and Annabella Nielsen in Copenhagen, Niklas Pollard in Stockholm and Michel Rose in Paris)
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