Can you deposit a money in your checking account through ATM?

Yes. Almost all banks these days allow deposit of money through ATM's into all types of accounts including checking accounts. However, there are limitations on the amount of money that can be deposited in a single transaction (Around 50 to 100 notes depending on country). There are also limitations on the type of bills accepted by the ATM. Larger denominations like $1000 or $500 arent accepted by ATMs. Typically accepted denominations are $10, $50 and $100.