The number of overnight stays was 5.3 per cent higher than in June 2017.
More than 91.3 per cent of these tourists were from the region, Western Europe and Scandinavia.
Visitors from Russia and Serbia still top the list, however, responsible for 17.7 and 13 per cent of the total number of foreign tourists.
Montenegro's tourism business is gearing up for the summer, expecting more Russian tourists than in previous years.
On Thursday, the tourism authorities presented the country's offer at the largest Moscow travel and tourism fair, MITT, saying that, "trends show that more Russian tourists are interesting to visit Montenegro."
The high court in the Montenegrin capital, Podgorica, has accepted the request of the special prosecutor and blocked the property of the family of former Yugoslav President Svetozar Marovic until an investigation into the origin of the property of the former senior politician, who has been convicted of fraud, has finished.
Former Serbia and Montenegro president Svetozar Marovic has until mid-September to pay 1.1 million euros to Montenegro after making a plea bargain with the special prosecution and admitting that he abused his political position to benefit a criminal group involved in property in his hometown of Budva.
Legendary producer and DJ Fatboy Slim, and soul singer John Newman will be the lead stars at the start of the post-Exit Sea Dance music festival in the Montenegrin resort of Budva on Thursday.
For the third year, the Exit festival is being held two locations, at the Novi Sad fortress in Serbia - its original location - and then at Jaz Beach in Montenegro.
The Court of Appeals of Montenegro has found four defendants guilty for a boat accident in 1999 that resulted in the deaths of 35 Roma refugees from Kosovo.
The Miss Pat, registered to carry six passengers and two crew, had about 70 people on board when it sank near Budva, Montenegro in the summer of 1999.