The 2-year-old cat, named Wasabi, survived but suffered a fractured leg and broken bones.
The Juneau Empire reports (http://bit.ly/155gwT4) the cat was chasing the mosquito Monday in her owners' apartment in Juneau, about two blocks from the state Capitol.
The mosquito escaped out a window, and Wasabi went after it. Stephanie Gustafson says her mother watched the female cat fall.
Wasabi landed in a parking lot, and Gustafson found her huddled nearby, bloody and wet from rain.
The cat underwent an operation, and has pins and wires holding together her fractured leg and broken bones in a joint. She also is sporting a pink cast.
Gustafson says Wasabi is expected to heal in about six weeks.
Information from: Juneau (Alaska) Empire,