Teleseismic broadband recordings of intermediate and deep focus earthquakes are used to quantify both compression (Q h ) and shear (Q i ) wave attenuation within the Lau backarc basin. A spectral-ratio method is employed to measure differential attenuation (lt*) between the depth phases sS, pP, and sP and the direct S and P phases over the frequency band 0.05 and 0.5 Hz. We use a stacking algorithm to combine the spectra of several phase pairs from a single event, having similar azimuth and range, to obtain more robust lt* measurements; these estimates are then used to compute the average Q above the focal depth. Q i and Q h are measured directly from the sS-S and pP-P phase pairs respectively, however, the interpretation of lt* measured from sP-P requires assumptions about the ratio Q h /Q i . We find an empirical ratio of Q h /Q i =1.93 for this region and use it to compute Q h and Q i from the Q sP observations.We observe lateral and depth variations in both Q i and Q h beneath the tectonically active Lau Basin and the geologically older, inactive Lau Ridge and Fiji Plateau. The upper 200 km beneath the Central and Northern Lau Basin show a Q i of 45 -57 and a Q h of 102 -121, and Q appears to increase rapidly with depth. The upper 600 km beneath the Lau backarc basin has a Q i of 118 -138, while over the same depth interval we observe a higher Q i of 139 -161 beneath the Lau Ridge and Fiji Plateau. We also find Q h of 235-303 beneath the northern Lau Basin and a higher Q h of 292 -316 beneath the Fiji Plateau and the Lau Ridge measured directly from pP-P phase pairs. These geographic trends in the broadband Q measurements correlate with our previous long-period estimates of Q i in this region, however, the broadband measurements themselves are higher by about a factor of two. These observations suggest substantial frequency dependence of Q in the upper mantle, beginning at frequencies less than 1.0 Hz and consistent with the power-law form: Q8 h with h between −0.1 and −0.3.