Comment puis-je dire ? "for me that was first time I took part in such celebration" = C'était la première fois que je participais à ce genre de fête.

Some verbs are always followed by the same words. For example "participer à" - participer à une fête, participer à un concours. ...though "à" should be replaced by "au" sometimes. - participer au concours (here "au" is like "at the", we know which one you mean, as opposed to "at a" where it woud be a generic event, quite common)

The translation of you english sentence is : c'est la première fois, que je participe à une fête pareille .