Fibonacci-spaced　defect　resonators　were　analytically　investigated　by　cavity　coupling,　which　exhibited　a　series　of　well-defined　optical　modes　in　fractals.　The　analytic　model　can　be　used　to　predict　the　output　performance　of　microcavity　lasers　based　on　Fibonacci-spaced　defect　resonators,　such　as　the　mode　number,　resonant　frequency,　and　Q　factor.　All　results　obtained　by　the　analytical　solution　are　in　good　consistency　with　that　obtained　by　the　finite-difference　time-domain　method.　The　simulation　result　shows　that　the　Q　factor　of　the　resonant　modes　would　increase　dramatically　with　the　appearance　of　narrower　optical　modes.　The　proposed　theoretical　model　can　be　used　to　inversely　design　high　performance　polymer　lasers　based　on　the　Fibonacci-spaced　defect　resonators.