Approximately 500 of the affected workers will be based in Sweden.
The layoffs come as part of a restructuring programme aimed at saving 1.5 billion kronor, which will also see the bank's global operations, including in Asia and Germany, discontinued.
This will leave the six domestic markets, including in the Nordics, the Netherlands and the UK.
No offices will be closed, and CEO Carina Åkerström did not elaborate on which departments would be affected by the layoffs other than to say they would mainly relate to operations outside the domestic markets.
During the third quarter of 2019, Handelsbanken's operating profit was just over 4.64 billion kronor, compared to 5.3 billion kronor for the corresponding periods last year.
But both the bank's interest rate and net commission income rose.
“We're on the right track. We are about where we expect to be, but not yet where we want to be,” said Åkerström.