The 'Kaikki muuttuu paremmaksi' campaign is modelled on the American 'It Gets Better' movement, which in turn was spurred by the suicides of several persecuted LGBT youth.
SETA hailed the project's positive message of hope for the future and of each person's right to live life in one's own way.
The organisation presented the award on Saturday at the HalfPride event in the south-central city of Jyväskylä. Local organisers say the event itself attracted over 2,000 visitors.
The 'Kaikki muuttuu paremmaksi' book and video were released in late 2010, when the eight-minute video was shown on all Finnish TV channels.
Those appearing in the video include Minister for European Affairs and Foreign Trade Alexander Stubb, then-Minister of Justice Tuija Brax and choreographer and TV presenter Marco Bjurström.
In the US, figures ranging from President Barack Obama to singer-actor Adam Lambert have recorded 'It Gets Better' support videos.