... Every 4 years or so(210k blocks) the block reward halves, so in 2020 the block reward will halve to 6.25 BTC per block. As time goes on the amount of new bitcoins created will be lesser and lesser, infinitely close to but never hitting 0.
Actually it does go to 0. Eventually, it will go to 3 satoshis, then 1 satoshi, then 0.