Is vat applicable?

You have not mentioned to which State you are referrring to? Further, you have to explain the nature of work done. Whether it involves any transfer of property in the form of goods? Only if it involves transfer of property in goods, VAT is applicable.

It Is for UP State and  the Company engage to Construction of Buildings and Engineering services like road

Since there is transfer of property in goods involved in the execution of civil works contracts in the form of goods like cement, asphalt, sand etc from the contractor like you to the Government, you are liable to pay tax on the transfer of property in goods.

See the VAT Rules of your state to know how to calculate the taxable turnover on which you have to pay taxes. See the schedules for the rate of tax.