  One of the solutions of Einstein field equation with cylindrical symmetry is
known as black string solution. In this work, the rotating black string
solution in dRGT massive gravity is obtained and then called rotating-dRGT
black string solution. This solution is a kind of generalized version of
rotating AdS/dS black sting solution containing an additional two more terms
characterizing the structure of graviton mass. The horizon structures of the
black string are explored. The thermodynamical properties of the black string
are investigated. We found that it is possible to obtain the Hawking-Page phase
transition depending on the additional structure of the graviton mass, while it
is not possible for rotating-AdS/dS black string. By analyzing the free energy,
we also found that the stable rotating black string is bigger than the
non-rotating one.
