Dynamic fluctuation phenomena in a solution of wormlike micelles are investigated. The anomalous fluctuation contribution to the viscosity coefficients eta(fl) is calculated. This contribution is determined by the nonlinear interaction of hydrodynamic modes with the bending mode, which describes the relaxation of the shape of micelles. At high frequencies eta(fl), behaves as omega(-1/4). In the low-frequency limit eta(fl) does not depend on the frequency and is on the order of (xi(p)/xi)eta (xi is the average distance between crosslinks of the micelles, xi(p) is the persistent length, and eta is the viscosity of the pure solvent). In the case xi(p) much greater than xi the value of eta(fl)! therefore exceeds the bare viscosity eta.