Fitness landscapes 1, 2, depictions of how genotypes manifest at the phenotypic level, form the basis for our understanding of many areas of biology 2– 7 yet their properties remain elusive. Studies addressing this issue often consider specific genes and their function as proxy for fitness 2, 4, experimentally assessing the impact on function of single mutations and their combinations in a specific sequence 2, 5, 8– 15 or in different sequences 2, 3, 5, 16– 18. However, systematic high-throughput studies of the local fitness landscape of an entire protein have not yet been reported. Here, we chart an extensive region of the local fitness landscape of the green fluorescent protein from Aequorea victoria (avGFP) by measuring the native function, fluorescence, of tens of thousands of derivative genotypes of avGFP. We find that its fitness landscape is narrow, with half of genotypes with two mutations showing reduced fluorescence and half of genotypes with five mutations being completely non-fluorescent. The narrowness is enhanced by epistasis, which was detected in up to 30% of genotypes with multiple mutations arising mostly through the cumulative impact of slightly deleterious mutations causing a threshold-like decrease of protein stability and concomitant loss of fluorescence. A model of orthologous sequence divergence spanning hundreds of millions of years predicted the extent of epistasis in our data, indicating congruence between the fitness landscape properties at the local and global scales. The characterization of the local fitness landscape of avGFP has important implications for a number of fields including molecular evolution, population genetics and protein design.