Q:

Internet Banking option for US regions

Internet banking option available in US Region, Please suggest the API or Payment gateway link
I have checked Amazon they are using only Credit/Debit card Payment only

A:

I'm not sure which specific online banking options you're looking for - but a good overall solution for a payment gateway (in US and Europe) is BlueSnap. They have a good API for taking in payments via CC, bank electronic check (ECP), paypal, visa wallets and so on. 
The API is this: https://developers.bluesnap.com/ 
If you plan to take payments via a website, they have a good hosted pages solution, so you could just embed the checkout in your page.

