One of the longest goalless streaks at a major international tournament in the history of football occurred at the UEFA European Championship (commonly known as the Euro) in 1992. The goalless streak was notable because it involved the entire group stage of the tournament and extended over multiple matches.

During the UEFA Euro 1992, held in Sweden from June 10 to June 26, Group 1 featured a particularly extraordinary goalless run. The group consisted of four teams: Denmark, England, France, and Sweden. In this group, the matches were characterized by a lack of goals, creating a remarkable streak of goalless draws. Here's a summary of the key details:

 The group stage matches for Group 1 consisted of six games in total.
 Surprisingly, all six matches ended in goalless draws, with no goals being scored.
 The streak of goalless draws continued for the entire duration of the group stage.

This unusual sequence of events meant that none of the matches in Group 1 produced a winning team or a single goal throughout the group stage.

Ultimately, the goalless streak came to an end in the knockout stage when Denmark, which had entered the tournament as a late replacement for Yugoslavia, went on to win the UEFA Euro 1992. Denmark's unexpected triumph, coupled with the memorable goalless group stage, made the tournament one of the most remarkable and unique in the history of European championships.

Please note that records in sports can change over time, and there may have been subsequent goalless streaks in major international tournaments. To find the most up-to-date information on this topic, it's advisable to refer to the latest sports records and statistics.