"Away from radicalism, our nation wants to live in this world in friendship", Rouhani said during a televised speech in the capital of Tehran.
Mogherini said: "Iranians took passionately part to political life of their country".
Ayatollah Seyyed Ali Khamenei, the top leader of the country, commended the Iranian people for their "massive and epic" turnout in the country's twin elections.
Ebrahim Raisi, a conservative cleric, accused supporters of Rouhani of hundreds of acts of propaganda at voting booths - banned under electoral law.
Donald Trump long threatened to renegotiate the nuclear deal while on the campaign trail.
Relations between the US and Iran are likely to be remain hostile, according to Karim Sadjadpour of the Carnegie Endowment for International Peace.
He promised voters a moderate and outward-looking Iran and criticised the conservative-dominated judiciary.
Shortly after final results were released, Khamenei had also urged Iranians to show unity following the "intensity of the days and weeks" leading up to the vote. Germany's defense minister, Ursula von der Leyen, welcomed what she called a "positive sign".
But there is no indication that Rouhani will be a "moderate" or a "reformer" on any other issues.
Indianapolis Colts sign journeyman RB Christine Michael
In what has become a corresponding roster move, the Colts have also elected to waive fellow running back Brandon Radcliff . Michael played in five games for the Cowboys and registered 15 carries for 51 yards and caught one pass for two yards.
Trump announces withdrawal from Paris climate accord
Trump raised alarm bells when he refused to sign up to a pledge on the deal at last week's G7 meeting in Italy. His decision could seriously hamper efforts to cut emissions and limit global temperature increases.
Iran's President has important sway over domestic affairs and serves as the face of Iran to the world.
- Six men were approved to run by the Guardians Council from more than 1,600 applicants, but it quickly boiled down to a two-man race between Raisi and Rohani, an establishment veteran who oversaw a breakthrough nuclear deal with world powers to ease sanctions and pushed for engagement with the West and greater openness for Iranians. But Rouhani had history and hope on his side.
Raisi was popular among the working class and rural poor who rely on state support and benefited less from the nuclear pact.
As the Interior Minister read out the final result, it was clear Rouhani's pragmatic policies had clearly defeated the hardline stance of his opponent Ebrahim Raisi, by a margin of almost two to one.
DUBAI: Iranians yearning for more freedom at home and less isolation overseas have emphatically re-elected President Hassan Rouhani, throwing down a challenge to the conservative clergy that still holds ultimate sway. But in spite of the promise that lifting of USA sanctions will improve the economy, the national economy remains crisis-ridden. The turnout was more than 40 million (70%). Iran was also reconnected to the global banking system.
No sitting president in Iran has failed to win a second term since 1981.
President Rouhani's victory means a major defeat for the hardliners.
Assad sent a cable to Rouhani congratulating him "for the trust that was given to him by the Iranian People to continue strengthening Iran's position and its role in the region and the world as a whole". He told NPR'sMorning Edition that leaders in the US -allied countries of Israel and Saudi Arabia are likely to advocate "a policy which goes back to status quo ante on Iran which is pushing Iran back in the Middle East".
On average, equities analysts forecast that Charles Schwab Corp will post $1.62 earnings per share for the current fiscal year. The institutional investor bought 6,910 shares of the financial services provider's stock, valued at approximately $282,000.
WKAR's Reginald Hardwick reports on local reaction to President Trump withdrawing the U.S. from the Paris Climate Accord. By abandoning the world's chief effort to slow the tide of planetary warming, Trump was fulfilling a top campaign pledge.
Musk said that should Trump choose to renege on the agreement he would have no choice but to step down from the position. Trump has expressed doubts about climate change , at times calling it a hoax to weaken United States industry.
Ms Wood wasn't too happy about the suggestion, hitting back that it was the Conservative Party and UKIP that were in coalition. In her closing remarks at the end of the debate, she said: "You heard the squabbling and discord of disagreement tonight".
As the probe into the possible network continues, the father and brother of suicide bomber Salman Abedi were arrested in Libya. Cities including Paris, Nice, Brussels, St Petersburg, Berlin and London have suffered attacks in the last two years.
A spokesman for the Philippines' Army has said police are in control of the situation, and the military is monitoring it closely. Police said one gunman fired at an LED screen at the resort and lit a table on fire but did not shoot anyone.
Golden State Warriors' David West shoots during an NBA basketball practice, Wednesday, May 31, 2017, in Oakland, Calif. When those shots are falling, it opens things up for James, giving him the option to drive to the basket or post up.
On that topic, Trump tweeted Sunday night: "I suggest that we add more dollars to Healthcare and make it the best anywhere". President Donald Trump is considering overhauling his White House staff and bringing back top campaign strategists.
Advancing issues outnumbered declining ones on the NYSE by a 4.73-to-1 ratio; on Nasdaq , a 3.03-to-1 ratio favoured advancers. The S&P 500 posted 28 new 52-week highs and 11 new lows, the Nasdaq Composite recorded 82 new highs and 70 new lows.
He carded a closing 65 at Augusta National, but signed for a 66 and thus officially finished one stroke behind victor Bob Goalby . De Vicenzo's two other majors were won on the PGA Senior Tour, and 131 of his tournament victories came in his native country.
"We will expand our successful Q family by 2019 with two new concepts - the Audi Q8 and the Audi Q4 ", said Stadler. It also means that Audis could switch to rear-wheel drive; now , its non-quattro cars have front-wheel drive.
Hyundai Kona SUV Teased Before The World Premiere
Expecting to be rolled out in Europe and then Australia, the Kona may get a 1.6-litre engine in its top-most variant. Apart from its style, the new KONA uses the newest technology, making premium functions more available.
President Trump will withdraw USA from Paris climate agreement
The nations that remain in the Paris Agreement will be in the nations that reap the benefits in jobs and industries created. But that prospect led to a swift joint statement from France, Germany, and Italy who said the accord can't be renegotiated.
Trump rejects moving Israel embassy to Jerusalem _ for now
Carrying out Congress's wish would deny the Palestinians East Jerusalem , the only credible capital of a future Palestinian state. The US president has said he is reviewing whether to fulfil his campaign promise to move the facility to Jerusalem .
Official says Trump expected to pull US from... 11:03 am Wed
While travelling overseas last week, Trump was repeatedly pressed to stay in the deal by European leaders and the Vatican. Mr Trump claimed before taking office that climate change was a " hoax " created by the Chinese to hurt the U.S. economy.