In this paper we study the local persistence of the two-dimensional Blume-Capel Model by extending the concept of Glauber dynamics. We verify that for any value of the ratio alpha = D/J between anisotropy D and exchange J the persistence shows a power law behavior. In particular for alpha < 0 we find a persistence exponent thetal = 0:2096(13), i.e. in the Ising universality class. For alpha > 0 (<FONT FACE=Symbol>a ¹</FONT> 1) we observe the occurrence of blocking.