Those overnight figures are 20 per cent up from the 2.83 million people who watched the season seven premiere, and an increase of 12 per cent from the season seven finale.
Game of Thrones has smashed viewing figures for the series in the UK.
That does not include those people who watched the episode on NOW TV, the streaming service airing Game of Thrones in the UK.
An impressive 3.39 million people watched the first episode of season eight on Sky Atlantic on Monday (15 April).