The Hall conductivities of HgBa_{2}CaCu_{2}O_{6+\delta}andHgBa_{2}Ca_{2}Cu_{3}O_{8+\delta} thin films are investigated for a magneticfield parallel to the c axis. The mixed-state Hall conductivity for thesecompounds is well described by \sigma_{xy}=C_{1}/H+C_{2}+C_{3}H. The prefactorC_1 shows a temperature dependence of the form C_1 = A(1-t)^n near T_c, wheret=T/T_c is the reduced temperature. Contrary to the previous results, C_2 alsofollows a temperature-scaling behavior similar to that of the coefficient C_1.The observed value of n = 1.8 - 2.3 is comparable to the previously observedvalues for YBa_{2}Cu_{3}O_{7-\delta} and La_{2-x}Sr_{x}CuO_{4}.
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