The thurible, also called censer, consists of a cup-shaped metal receptacle, with a perforated lid, which is suspended in chains. The thurible is used in Christian liturgy for the burning of aromatic incense, especially in solemn celebrations, as expression of reverence and prayer. The Altar, the Gospel Books, the Cross, the offerings for the sacrifice of the Mass, the Paschal Candle -when required- as well as the priest and the people are incensed in order to honor the presence of Christ. (cf. GIRM no. 276-277)
The incense boat is the container of incense and with it is a teaspoon. The person or server who carries the thurible is called the thurifer.
There is also the thurible stand, where the thurible hangs safely when still hot, when not in use.