After card payments and e-wallets, payments through the new system can be made by just a thumb impression after the bank account is linked with Aadhaar gateway, he said at a DigiDhan Mela, an event organised to celebrate the success of digital currency push.
Modi used wit and humour to take swipes at his political opponents for criticising demonetisation saying the drive was aimed at catching the "mouse" that eats away the nation's wealth.
Elaborating on Bharat Interface for Money or BHIM app,
Modi said it is a simple app that can be used for making and receiving payments through smartphones or even feature phones.
The name 'BHIM' is in recognition of the contribution of Bhim Rao Ambedkar for the upliftment of poor and marginalised sections of society.
"Through this app, Bharat Ratna Bhim Rao Ambedkar's name will take the centre-stage in India's economy. The day is not far, when people will conduct their business through this app," he said.
There was a time when illiterate persons were ridiculed as "angoothachhap", Modi said adding "the times have changed, now your thumb will be your bank, identity and business".
He further said the government has issued over 100 crore Aadhar numbers and there are more than 100 crore mobiles and once the country goes digital, "it can create history".
Technology, he said, will empower poorest of the poor, small business and the marginalised section.
"Some people are pessimists in their hearts and minds, They start their days with pessimism. They may live with that," he said, adding that India is accepting the change today and in share markets crores of people are using demat accounts.
Referring to the critics, Modi said: "For pessimist, I can not offer any medicine but for optimists, I have thousands of avenues".
He further said that even barbers and washer men can use digital payments and present their mobile records to borrow money from banks.
Responding to a comment that demonetisation is like finding a mouse after digging a hill, he said in a lighter vein that catching mouse is important as it eats away the wealth of poor.
Recalling that India, once described as golden bird (Sone ki Chidiya), became poor due to certain mistakes, Modi said the country has the potential to regain its past glory.
