(CNN) -

Ukrainian forces began military operations in the east of the country Tuesday, marking a definite end to a unilateral cease-fire that had been in place for 10 days.

The speaker of Ukraine's parliament, Oleksandr Turchynov, told lawmakers the government's "anti-terror operation" against pro-Russia separatists had been "renewed."

Ukrainian armed forces have been conducting "attacks on terrorists' bases and defended posts," he said.

The announcement came hours after Ukrainian President Petro Poroshenko said that his country would not renew a cease-fire with the separatists, vowing instead to "attack and liberate our land."

"Termination of cease-fire is our response to terrorists, insurgents, marauders ... and (those who) deprive people of normal peaceful life," Poroshenko said.

In a statement on his website, Poroshenko congratulated Ukraine's armed forces and border guards for re-establishing control over the checkpoint at Dolzhanskyi, in "the first victory since the restoration of the CTO," a reference to the government's Counterterrorist Operation. He said the armed forces and the State Border Service of Ukraine regained control over the checkpoint and combat engineers removed mines from the checkpoint and adjacent roads.

Violence flared Tuesday in Donetsk, one of the cities at the heart of the separatist unrest.

Interior Minister Arsen Avakov, on his official Facebook page, said that militants had launched an attack on a regional police headquarters building in Donetsk, killing one police officer and badly injuring two more.

Avakov said the police were barricaded inside the building in the city of Donetsk and that the fighting was ongoing.

The Interior Ministry later said three people were seriously injured -- one woman and two special forces policemen. Three others were injured and hospitalized, the ministry said.

Police successfully fought back the attack, the ministry said on its website.

On its website, the Donetsk regional state administration said Ukrainian forces attacked the central part of Kramatorsk from the air and ground. A bus attack in Kramatorsk left four people dead and five others injured. The statement did not say which side in the conflict carried out that attack.

Yuriy Stets, information security head for the National Guard and a parliamentarian, told CNN that the National Guard had regained control of Zakotne, near Slovyansk, and were targeting two other towns.

Cease-fire hopes dashed

The fragile cease-fire expired at midnight Monday, hours after Poroshenko spoke by phone with Russian President Vladimir Putin, German Chancellor Angela Merkel and French President Francois Hollande. Poroshenko also talked on the phone with U.S. Secretary of State John Kerry.

The cease-fire -- agreed on last month amid a volatile political crisis -- raised hopes that Ukraine could be moving back from the brink of full-fledged civil war.

As part of a peace plan, Poroshenko urged the rebels to lay down their arms and engage in talks. He also called for the strengthening of Ukraine-Russia border controls, the freeing of hostages and changes to the constitution to decentralize power.

In his statement, Poroshenko said the militants had failed to take up a "unique opportunity" to support the peace plan and had instead violated the unilateral cease-fire more than 100 times.

Putin, addressing Russian diplomats in Moscow, said he regretted the decision to end the cease-fire.

"Unfortunately, President Poroshenko decided to resume a military operation. I and my EU colleagues could not convince him" of the need to settle the crisis peacefully.

Putin: 'Only on equal terms'

Putin said Russia had been obliged to annex Ukraine's Crimea region in March in order to prevent NATO forces entering, which would have created "a completely different alignment of forces."

He told the diplomats that they would "face growing pressure in defending national interests" and that "the events provoked by the West in Ukraine have become a concentrated political expression of deterrence toward Russia."

Putin also referred to Russia's tense relationship with the United States, suggesting that the current crisis was born of the West's attempts to impose its own way of doing things on the rest of the world.

"Our relationship with the United States is not the best at the moment," he said.