The Hippo pathway regulates tissue growth in many animals. Multiple upstream components promote Hippo pathway activity, but the organization of these different inputs, the degree of crosstalk between them, and whether they are regulated in a distinct manner is not well understood. Kibra activates the Hippo pathway by recruiting the core Hippo kinase cassette to the apical cortex. Here we show that the Hippo pathway downregulates Drosophila Kibra levels independently of Yorkie-mediated transcription. We find that Hippo signaling complex formation promotes Kibra degradation via SCFSlimb-mediated ubiquitination, that this effect requires Merlin, Salvador, Hippo, and Warts, and that this mechanism functions independently of other upstream Hippo pathway activators. Moreover, Kibra degradation appears patterned by differences in mechanical tension across the wing. We propose that Kibra degradation mediated by Hippo pathway components and regulated by cytoskeletal tension serves to control Kibra-driven Hippo pathway activation and ensure optimally scaled and patterned tissue growth.