This paper reviews recent advances in graphene active plasmonics for terahertz (THz) device applications. Two-dimensional plasmons in graphene exhibit unique optoelectronic properties and mediate extraordinary light-matter interactions. It has been discovered theoretically that when the population of Dirac fermionic carriers in graphene are inverted by optical or electrical pumping, the excitation of graphene plasmons by the THz photons results in propagating surface plasmon polaritons with giant gain in a wide THz range. Furthermore, when graphene is patterned into a micro- or nanoribbon array by grating metallization, the structure acts as an active THz plasmonic amplifier, providing a superradiant plasmonic lasing with a giant gain at the plasmon modes in a wide THz frequency range. These new findings can lead to the creation of new types of plasmonic THz emitters and lasers operating even at room temperature.