While AAP has 28 MLAs of its own, it is supported by eight from the Congress. The Bharatiya Janata Party (BJP) and its allies together have 32 MLAs in the 70-member assembly.
The five-day-old AAP government must have the support of 36 MLAs to win the trust vote.
Ahead of the trust vote, AAP leaders like Manish Sisodia, Yogendra Yadav and Kejriwal met and said the government will run on issues.
Sisodia said he hoped that all the MLAs will support their issues (like reduction of power bills and free water).
Congress Delhi unit president Arvinder Singh Lovely said they would stick by their commitment and assurance from high command in not toppling the government.
Kejriwal, meanwhile, said the people of Delhi trust them.
"The people trust this government. They know in five days this is the government of the people," said Kejriwal.
The first session of the Delhi Assembly commenced from Wednesday.
Delhi Chief Minister Arvind Kejriwal and newly elected Aam Aadmi Party (AAP) MLAs took oath in the Assembly on the first day.
The session will end on Jan 7.
According to reports, the Speaker and the Deputy Speaker will be elected on Jan 3.
After taking over AAP made two key announcements for the people of Delhi. Kejriwal first announced free water of about 670 litres a day to all and then on Tuesday said households in Delhi that used electricity up to 400 units per month will need to pay half of the bill they used to pay earlier.
Kejriwal met Comptroller and Auditor General (CAG) Shashi Kant Sharma and discussed the issue of conducting the audit of three private power distribution companies.
The companies supply power in the national capital.
The free water decision, implemented from Jan 1, will be reviewed after three months. The free water, 20 kilo litre to be supplied per month to each household, will be available for those with water meters.
AAP supremo Kejriwal took oath as the seventh chief minister of Delhi on Saturday last (Dec 28) and had then transferred Chief of Delhi Jal Board.
He also shunted out eight other IAS officers.
Kejriwal himself retained Power, Home, Finance, Planning and Vigilance ministries.
--IBNS (Posted on 02-01-2014)