The bombings, which killed more than two dozen people on Monday, were "despicable acts," and the United States would pursue those responsible and bring them to justice.
"The people that killed the Americans and other innocent life will be tracked down and they will be brought to justice," he said in Pierce City, Mo. "It doesn't matter how long it takes.
"The war on terror goes on. And this incident in Saudi Arabia shows the country the we still have a war to fight."
Bush's comment came in answer to a reporter's question while he was visiting the city to view damage caused by a tornado that destroyed some 100 structures.
Responsibility for the attacks has not been fixed, but it was suspected al-Qaida was involved.
"There's a lot of suspicion it is al-Qaida," Bush said. "Al-Qaida is a group of people that don't care about taking innocent life. And obviously, these killers don't care about innocent life. And we'll find out -- we're going to find out."
Bush had flown to Pierce City from Indianapolis, where earlier in the day he had beat the drum for his $550 billion economic stimulus package.
Indiana had been the third stop on a tour that had included New Mexico and Nebraska.
Bush commiserated with people in Pierce City and promised prayers and federal help. He also praised the spirit of its people in the face of great loss and their determination to rebuild.
Prior to his main remarks in Indianapolis, Bush spoke of the bombings that killed at least 29 people -- including a number of Americans.
"These despicable acts were committed by killers whose only faith was hate, and the United States will find the killers and they will learn the meaning of American justice," he said.
The bombings in Riyadh, the Saudi capital, came just a few hours before Secretary of State Colin Powell was to arrive there in an effort to garner support for the "road map" for Middle East peace.
They also occurred about two weeks after Americans in Saudi Arabia were cautioned they could be targets of al-Qaida or other terrorists.
Al-Qaida is held responsible for the Sept. 11, 2001, attacks on the World Trade Center and Pentagon.
Vice President Dick Cheney on Tuesday also pointed to the suicide bombings late Monday local time as proof positive the war against terrorism was far from over.
"Lest any of us think that the struggle is over with, all we have to do is contemplate last night's tragic events," he said.
"Clearly, we are locked in the kind of struggle that will continue for a good many year, that calls upon the very best in the United States military," Cheney said at a luncheon in Washington honoring Secretary of Defense Donald Rumsfeld, who received a think-tank award for public service.
The president said in Indianapolis Tuesday that accelerated, across-the-board tax cuts would propel economic growth and create jobs in America, an integral part of national security fabric.
Americans, he urged, should let their support for the tax cuts be known in Washington, where the Senate began debate on the measure Monday.
The House of Representatives passed a $500 billion package, which included the controversial end of taxes on stock dividends for investors. In the Senate, the battle is to get approval of a bill that exceeds the scaled-down, $350 billion package many prefer.
A target of Bush's focus is a handful of Republican senators who have not committed to a larger stimulus package.
Bush argues that about 1.4 million jobs would be created by 2004 with the bigger stimulus, while the smaller one would trim that number by hundred of thousands.
Copyright 2003 by United Press International.
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