"This horrific act of violence has robbed our Vanderbilt family of a young hopeful life and all of the bright promise that he held for bettering our greater world," Zeppos said.
The school said in a separate statement that Force was among 29 students and four staff members who had gone to Israel to study global entrepreneurship. They were in Jaffa by the Mediterranean Sea when they were attacked.
All the other trip participants from Vanderbilt are safe, the Nashville, Tennessee, school said.
According to Force's LinkedIn page, he graduated from West Point in 2009 and was a field artillery officer in the U.S. Army until 2014.
Force, 28, started an MBA study in 2015. At the time, he told the website Poets and Quants
that he went to Vanderbilt because of the support for veterans, the diversity of students and the quality of education.
"In addition to learning the skills needed to be successful in business, I want to establish life-long connections and friendships with my fellow students from the U.S. and around the globe," he said.
His former scoutmaster from Lubbock, Texas, said the situation was surreal.
"I just can't put any sense to why somebody would have randomly attacked someone like him," Marty Northern told CNN affiliate KLBK
. "They don't know anything about him.
"One of the reasons he was going there was to -- with this global trading and this global environment that we live in now -- was to understand part of what was going on with the Israelis and how they were interacting with the global trading."
The U.S. State Department confirmed Force's death and condemned the attack.
"We offer our heartfelt condolences to the family and friends of Taylor and all those affected by these senseless attacks, and we wish a speedy recovery for the injured," spokesman John Kirby said. "As we have said many times, there is absolutely no justification for terrorism."
Israeli Prime Minister Benjamin Netanyahu
sent his condolences to Force's family.
"May his memory be a blessing," he said.
Attack was near Biden visit
The stabbing attack occurred along a popular oceanfront boardwalk in southern Tel Aviv not far from where U.S. Vice President Joe Biden
"In these moments, terror attacks are taking place in streets adjacent to us," said former Israeli President and Prime Minister Shimon Peres
during a meeting with Biden at the Peres Center for Peace.
Biden "condemned in the strongest possible terms the brutal attack" that took the life of one of his countrymen at the same time, and around the same area, that he was meeting with Peres.
"There is no justification for such acts of terror," the vice president's office said in a statement. Biden "expressed sorrow at the tragic loss of American life."
Israeli police spokesman Micky Rosenfeld tweeted that the attacker, a Palestinian from the West Bank, was fatally shot by police.
Luba Samri, also with Israeli police, told CNN that at least four people were stabbed near the Jaffa port and another three or more were stabbed as the attacker moved north on the boardwalk, a popular waterfront spot that has shops and restaurants.
An American who lives in Tel Aviv told CNN that she was walking home from work when she saw people running toward her.
"They were shouting, 'The terrorist, he's stabbing people,' " said Emily Young, who is originally from Scarsdale, New York.
Young went to help a victim who had been stabbed in the eye. She put something on the wound to stop the bleeding and tried to communicate, but the Russian tourist couldn't speak Hebrew or English. Young rolled him over to check for more wounds and found one in the man's back. Young, who had some first-aid training while in the Israeli military, applied pressure to the wound.
She waited with him until emergency workers took them to a hospital.
Tuesday's incident is among a spate of terrorist attacks that Israeli authorities have blamed on Palestinians, be they from the West Bank or elsewhere.
A large number of these attacks have been stabbings, though guns and cars -- used to run over people -- also have been used. Israeli authorities have responded, at times, with crackdowns in Palestinian areas.
Also on Tuesday, Rosenfeld reported that a "terrorist with (an) automatic weapon" opened fire in Jerusalem. Two Israeli policeman were seriously injured before the attacker was killed.
Authorities shot and killed a female terrorist behind an "attempted stabbing" in Jerusalem's Old City, Rosenfeld tweeted.
In a letter to the United Nations Security Council, Danny Danon, the Israeli ambassador to the United Nations, condemned the attacks.
"Ambassador Danon wrote that since the onset of the current wave of violence, the Palestinians have committed 317 terror attacks at an average of 2.18 attacks against Israelis every day," his office said in a statement.
"He also noted that a third of these attacks were committed by minors."
Danon urged the international community to condemn the attacks.