Sleiman was elected by the Lebanese parliament after a power-sharing deal between the March 14 bloc and the Hezbollah-led opposition was reached in Qatar.
 
Soldier killed
 
The political agreement was reached after more than 70 people were killed in clashes in cities across the country and tensions on the street are still simmering.
 
A soldier was killed during a gunfight between Hezbollah supporters and pro-government loyalists on Tuesday, Lebanese security officials said.
 
Hussein Mohammed Janadin was caught in the crossfire in the clash at a military post in the village of Aramoun, south of Beirut, officials said.
 
The soldier is the first person to die as a result of fighting between supporters of political factions since the power-sharing deal.
 
Tuesday's fighting came a day after nine people were injured in a gunfight in Beirut, shortly after a speech by Hassan Nasrallah, Hezbollah's secretary-general.
 
The clashes suggest that while Lebanon's leaders have worked out an accord, their respective supporters may be more reluctant to observe the political détente.
 
Lebanon's interior ministry has placed an indefinite ban on motorcycles, car parades, political flags and slogans in Beirut, in an attempt to defuse tensions between majority and opposition supporters.
 
'Prisoner deal'
 
In a speech to supporters on Monday, Nasrallah hailed Sleiman's election as president, calling it a new chapter for Lebanon.
 
"[Sleiman's] inaugural speech expressed the spirit of consensus that he promised to act upon in the upcoming period... And this is what Lebanon needs."
 
Nasrallah said that Hezbollah did not want to take over the country or undermine political institutions.
 
"I am speaking as Hezbollah - we don't want power or authority, we don't want to rule Lebanon, we do not want to impose our thoughts on the Lebanese," he said.
 
He also said that the group expects to make a prisoner swap with Israel soon.

"Samir Kantar [Israel's longest-held Hezbollah prisoner] fighter and his imprisoned brothers will be among us very soon, God willing," Nasrallah said.
 
Nasrallah said he expected a Hezbollah-Israel
prisoner swap to go ahead soon [AFP]
According to the Jerusalem Post newspaper, the exchange is to be conducted within 30 days.
 
Israeli Army Radio also said that the swap is likely to involve two Israeli soldiers captured by Hezbollah in 2006, which sparked a 34-day war between Israeli and Hezbollah forces.
 
A Lebanese-Israeli man who was sentenced to six years in jail by Israel in 2002 for having contact with Hezbollah will be released in less than a week, his family said on Tuesday.
 
Nasim Nisr's Israeli lawyers told the family he will be released on Sunday and deported to Lebanon, the prisoner's older brother, Omran, said.
 
However, he said his brother's release was not part of a prisoner swap hinted at by Nasrallah.
 
Israel has not commented on the potential release or on Nasrallah's prediction of a prisoner swap.