Crawford, Texas ? President Bush said Friday that Saddam Hussein’s execution marks the “end of a difficult year for the Iraqi people and for our troops” and cautioned that his death will not halt the violence in Iraq.

Yet, Bush said in a statement issued from his ranch in Texas, “it is an important milestone on Iraq’s course to becoming a democracy that can govern, sustain and defend itself, and be an ally in the war on terror.”

In a message of assurance to the people of Iraq, Bush said the execution was a reminder of how far the Iraqi people have come since the end of Saddam’s rule.

“The progress they have made would not have been possible without the continued service and sacrifice of our men and women in uniform,” he said.

Bush, who has spent weeks crafting a new U.S. policy in Iraq, warned of more challenges for U.S. troops.

“Many difficult choices and further sacrifices lie ahead,” he said. “Yet the safety and security of the American people require that we not relent in ensuring that Iraq’s young democracy continues to progress.”

When Saddam was apprehended in 2003, Bush promised that the deposed Iraqi leader would “face the justice he denied to millions.” The administration blamed Saddam for hundreds of thousands of mass executions.

In November, Saddam was sentenced to death after being convicted of murder in the killings of 148 Shiite Muslims from an Iraqi town where assassins tried to kill him in 1982.

After three decades in power, Saddam was captured in December 2003 in an underground hideout on a farm near his hometown of Tikrit. Two days later, Bush remarked: “Good riddance. The world is better off without you, Mr. Saddam Hussein.”

The president was briefed at 6:15 p.m. CST by National Security Adviser Stephen Hadley about the execution procedure, and that it would go forward in the next few hours. Hadley had been in touch with U.S. Ambassador to Iraq Zalmay Khalilzad, who had been in contact with Iraqi Prime Minister Nouri al-Maliki.

As his execution drew near, Saddam’s attorney filed an appeal trying to stave it off.

However, U.S. District Judge Colleen Kollar-Kotelly, who heard arguments from attorneys by phone, rejected the challenge Friday night. She said U.S. courts do not have jurisdiction to interfere in another country’s judicial process.

In the 21-page request filed Friday, Saddam’s attorneys argued that because Saddam also faces a civil lawsuit in Washington, he has rights as a civil defendant that would be violated if he is executed. He has not received notice of those rights and the consequences that the lawsuit would have on his estate, his attorneys said.

Americans were warned by the FBI and the Homeland Security Department to be vigilant about the possibility of a terror attack. The advisory sent to local law enforcement did not cite a specific threat.