The first flight will take off at 0800 IST while the second jet will fly to the Cypriot capital at 1000 IST and both aircraft will return the same day.
Minister for Overseas Indian Affairs Vayalar Ravi is closely monitoring the evacuation operation.
"All international treaties on major issues should be ratified in Parliament," the CPI(M) said.
Altogether 602 Indians were on Friday airlifted back home from Larnaca in Cyprus.
In one of the largest single evacuation exercises during the nine-day old West Asian crisis, India on Thursday pulled out 607 of its nationals from Lebanon to Larnaca (Cyprus) for being airlifted to India.
The deceased has been identified as Devesh Kumar Swain from Orissa.
"INS Mumbai has docked at Beirut around 1220 hrs IST and is in the process of bringing out the first batch of 1,000 Indians assembled at the port for evacuation", an official said.
With the situation in Lebanon becoming increasingly dangerous, about 100 Indians have been evacuated out of the country and over 1,000 others gathered on Wednesday at Beirut jetty to be moved out by four Indian warships.
Surjit Bhalla of Oxus Investments says that he is worried about the equity markets as despite good earnings, stocks are refusing to go up and investors are using rallies to sell.
One Indian soldier was injured on Monday after shrapnel from Israeli bombing hit him.
India on Monday lodged a protest with Israel after one of its soldiers, part of United Nations peace-keeping mission in Lebanon, was injured in military action there.
Saudi Arabia's squad for the World Cup finals in Germany comprises the following 23 players.
Pinki Pramanik won a gold and silver medal in the first leg of the Grand Prix.
Sushant Mathew's goal enabled the Mumbai side snatch a 1-1 draw with the Bahrain giants in the AFC Cup football tournament.
India's top clubs were drew 2-2 with Brothers Union of Bangladesh and Turkmenistan's Merv respectively in the second round.
Two goals down, the Mumbai snatched a 2-2 draw in the AFC Cup match in Beirut.
Out of the 74 new US diplomatic positions, China will get 15, followed by India with 12 new posts.
Bush and Danish Premier Rassmusen reiterated the importance of tolerance and freedom of expression.
India occupies the 118th place in the latest list.
Hariri was assassinated on February 14, in which 22 other people were also killed when his car was blown up.
Saudi jails have 1,444 Indians, UAE has 937, Bangladesh 893 and Singapore 580 while Pakistan has only 365.
Police sources said the bomber, belonging to the Aqsa Martyrs' Brigade that claimed responsibility for the attack, blew himself up in a line of people going through a customary security check at the mall's entrance.