BEIRUT , Lebanon -LRB- CNN -RRB- -- Saad Hariri is poised to follow in his father 's footsteps and become Lebanon 's next prime minister , a position he said he `` will not shy away from . '' Saad Hariri said he will discuss taking the position of Lebanon 's prime minister with his allies . `` I will discuss it with my allies , '' the pro-U.S. Sunni lawmaker told CNN . `` You know , I did n't win this election by myself . My allies had a big role to play in winning for the 14th of March -LRB- coalition -RRB- . And I think it will only be fair and obvious that we talk , me and my allies ... and then after that , if I have to do it , I will not shy away from it . '' Hariri is the head of the `` March 14 '' coalition , which retained its control over Lebanon 's government this week despite a strong challenge from a Hezbollah-dominated alliance . Hariri said he hopes to accomplish what his father , former Prime Minister Rafik Hariri , never had a chance to do before he was killed in 2005 . `` He accomplished in his assassination the sovereignty of Lebanon , the independence of Lebanon , '' Hariri said . `` And I want to accomplish what he always dreamt of Lebanon being . `` I think he would want me to do what 's good for Lebanon , do what would unite the Lebanese people , and ... concentrate on the economy and the security and stability of Lebanon . '' The elder Hariri was killed in a massive bombing in February 2005 that also left 22 others dead . An ongoing United Nations investigation has found indications of Syrian involvement in the assassination of the popular statesman , but Syria has denied any role . His death triggered massive protests that eventually led to the withdrawal of Syrian forces , ending Syria 's occupation of Lebanon . Saad Hariri said Sunday 's vote `` was about Lebanon '' and not its precarious position between its alliances with Western countries and its Arab neighbors . `` The people who went on the 7th of June voted for Lebanon first , '' he said . `` It 's not about the West ; it 's not about Iran ; it 's not about Syria . It 's about we as Lebanese , what we want from this new parliament and from this new government that 's going to come . '' Hariri ruled out an independent peace track with Israel , sticking by his previous assessment that Lebanon will be the last country to sign a peace deal with the Jewish state . `` We will follow after the Arab initiative , '' he said . `` You see , the Arab initiative includes many countries for the peace process , and Lebanon will come as we see fit . '' Israel fought a war against Hezbollah militants in Lebanon three years ago that is widely regarded as having empowered the Shiite militia , which claimed victory in the six-week conflict . Some analysts had feared that a Hezbollah victory in this week 's parliamentary elections would have heightened tensions in the Middle East , particularly because of the estimated 30,000 rockets pointed at Israel from southern Lebanon , all under the control of Hezbollah militants . Hariri met Tuesday with President Carter , who is in Beirut with more than 200 international observers monitoring the election . Shortly before that meeting , Hariri said the United States will play a key role in the effort to attain peace in the Middle East . `` I think the biggest turning point in this peace process is what the United States will do , '' he said . `` The United States has a big role to play , and if it plays it in the right way , if it plays its role like it should play it , then we will have peace in the region . They should pressure both sides to move forward -- whether the Palestinians and the Israelis , whether the Syrians and the Israelis -- and I 'm sure we 'll get there . '' After the victory of Hariri 's coalition , the next step for Lebanese lawmakers will be to elect a speaker of the parliament . Then , Lebanese President Michel Sleiman will ask someone -- presumably Hariri -- to form a government . In Lebanon , the presidency is reserved for Maronite Christians , the speaker of parliament is always a Shia Muslim , and the prime minister is a Sunni Muslim . That system was created to balance power among Lebanon 's three main religious groups .