New Fifa president Gianni Infantino is the "right man" for the job, FA chairman Greg Dyke has said.
The FA supported Mr Infantino's bid for the top job and Mr Dyke welcomed his election.
"It is a great result, it's a good day," he said.
Who is the man replacing Sepp Blatter at the top of Fifa and what are the challenges he faces?Read the full story ›
New Fifa president Gianni Infantino has vowed to "restore Fifa and the image of Fifa" after being elected to lead football's world governing body.
In a speech moments after his election, he told the Fifa Congress in Zurich that football had gone through "sad times and crisis", but said: "Those times are over, now we need to go forward."
Mr Infantino, a Swiss lawyer of Italian origin, thanked the other candidates and the members of the Congress who voted.
"I cannot express my feelings in this moment," he said.
"We will restore Fifa and the image of Fifa. We have to be proud of Fifa and everybody has to be proud of Fifa."
Gianni Infantino has been elected as the new president of Fifa in the second round of the vote.
Mr Infantino secured 115 votes, having need 104 to win.
Sheikh Salman bin Ebrahim al-Khalifa came second with 88 votes.
Prince Ali Bin Al Hussein received four votes, but there were none for Jerome Champagne.
There was no outright winner in the first round of the Fifa presidential election.
Needing a two-thirds majority to be elected - or 138 votes - Gianni Infantino came closest with 88 votes.
Sheikh Salman bin Ebrahim al-Khalifa came a close second, with 85 votes.
Prince Ali Bin Al Hussein received 27 votes, while Jerome Champagne only got seven.
There will now be a second ballot, in which candidates need to obtain half the votes to be elected president.
Fifa presidential candidate Tokyo Sexwale has pulled out of the election before the first round of voting.
Mr Sexwale, a South African anti-apartheid activist, made the announcement in his speech to the Fifa Congress.
"I have got a surprise for you," he said. "My campaign ends today and I suspend my participation. With only four people, it is your problem now."
Fifa presidential candidate Sheikh Salman bin Ebrahim al-Khalifa has told members his record "speaks for itself".
Speaking ahead of the vote at the Fifa Congress, Sheikh Salman, one of the favourites for the presidency, said: "Everyone knows me around Fifa as a president of a confederation, a vice-president of Fifa. My track record speaks for itself."
He added: "Trying to close the gap between the smaller countries and bigger ones is vital and its a priority for us to help the smaller nations."
Gianni Infantino told the gathering: "Destiny, which brought me to start the journey, an exciting journey, a fantastic journey. Five months ago I was not thinking of being a candidate but many things have happened."
Fellow contender Prince Ali Bin Al Hussein said "football has thrived but Fifa has floundered", adding: "I am the only candidate who has consistently demonstrated a real commitment to a new style of leadership"
Jerome Champagne bemoaned the fact that no debate took place between the candidates - something he asked for.
Reforms designed to repair Fifa's reputation and prevent future misdemeanours have been passed by Congress members.
The reforms include the Fifa president and council members serving a maximum of three four-year terms.
Issues of governance, accountability, transparency and diversity are covered in the reforms.
Of the 201 members who voted, 179 (89%) backed the changes.
Acting Fifa president Issa Hayatou said: "The hard work of restoring trust and improving how we work begins now.”
A guide to everything you need to know about the Fifa presidential election, including the candidates and how the vote will work.Read the full story ›