Talking to media outside Punjab Raj Bhawan on Sunday, he said that he will go to Delhi on March 14 to meet Congress Vice President Rahul Gandhi and discuss the formation of the new government.
This is the second time that Amarinder will become chief minister of the state.
He said the Congress government will be accountable to the people of the state.
Two Congress workers were killed this morning in Punjab's Mansa district when they arrived to attend a meeting of a truckers' union that was controlled by the ousted Akali Dal, in a shooting linked to the change of guard in the state.
Winning 77 of the 117 state assembly seats, the Amarinder Singh-led Congress had stormed to power in Punjab riding a strong anti-incumbency wave against the ruling SAD-BJP combine and warding off a spirited challenge by newcomer AAP.
He added that Sutlej Yamuna Link Canal (SYL) will not be constructed at any cost.
"When Punjab does not have enough water, the question of giving it to other states does not arise", he said.
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"A road-map has been prepared to end the source of drugs", he said.
Calling for a bigger role for regional leaders in states, he termed the absence of a regional face as one of reasons for the drubbing received by the AAP in the Punjab Assembly polls.
"Instead of acknowledging that his party failed to connect with the voters of Punjab, (Delhi Chief Minister) Arvind Kejriwal is making allegations about (tampering of) Electronic Voting Machines".
Captain Amarinder told mediapersons after the 10 minute meeting that it was a courtesy call.
On being quizzed about the party's "poor" performance in the Uttar Pradesh Assembly elections, Amarinder said that he spoke to Priyanka Gandhi last night and that they discussed how Congress had the chance of a comeback in the politically-crucial state, just as it did in Punjab.
A year before Punjab elections, when Rahul had handed over the reigns of the state unit back to Amarinder by replacing a younger Partap Bajwa, he had passed the baton of the state's Congress Legislature Party (CLP) to a young team headed by Charanjit Singh Channi, Bharat Bhushan Ashu and Navtej Cheema.