There is some history of the early publication of his diary in various languages to be found in the Introduction to the First Edition pages clvi-clxviii of the English translation, _The Three Voyages of William Barents to the Arctic Regions, (1594, 1595, and 1596)_
The very first publication relating to the voyages was in Amsterdam in 1598, in Dutch. The were further editions in 1599 and 1605. Latin, French, Italian and German translations followed within a year or two of the first edition. The original English translation seems to date from 1609.