  We investigate the Generalized Uncertainty Principle (GUP) effect on the
Hawking radiation of the 2+1 dimensional Martinez-Zanelli black hole by using
the Hamilton-Jacobi method. In this connection, we discuss the tunnelling
probabilities and Hawking temperature of the spin-1/2 and spin-0 particles for
the black hole. Therefore, we use the modified Klein-Gordon and Dirac equations
based on the GUP. Then, we observe that the Hawking temperature of the scalar
and Dirac particles depend on not only the black hole properties, but also the
properties of the tunnelling particle, such as angular momentum, energy and
mass. And, in this situation, we see that the tunnellig probability and the
Hawking radiation of the Dirac particle is different from that of the scalar
particle.
