First significant success the club made in the 1950 season was promotion to the Montenegrin Republic League.

Until now, the club from Bar played seven seasons in the highest league competition in Montenegro, but without any significant result.

On 2018-19 Montenegrin First League, Mornar made an Prva CFL all-time negative record, as they earned only 12 points on 36 games, but with only one single victory during the whole campaign.

That year, team from Bar suffered 12 defeats in a row, which is the longest losing streak in the history of Montenegrin top-tier.

As of 13 August 2024 Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.