LYNCHBURG, Va. — Senator Ted Cruz of Texas announced on Monday morning that he would run for president in 2016, becoming the first Republican candidate to declare himself officially in the race.

Linking the determination of his immigrant father with the resolve of the founding fathers and his own faith in “the promise of America,” Mr. Cruz spoke at length about his family and his faith as he laid out a case for his candidacy.

“God’s blessing has been on America from the very beginning of this nation, and I believe God isn’t done with America yet,” Mr. Cruz said before thousands of cheering students here at Liberty University. “I believe in you. I believe in the power of millions of courageous conservatives rising up to re-ignite the promise of America.”

“Today, I am announcing that I am running for president of the United States,” Mr. Cruz added. “It is a time for truth, it is a time for liberty, it is a time to reclaim the Constitution of the United States.”