Summary: Genetic fusion is introduced as a model for evolution. In the fusion two genomes are combined to generate a longer genome. Representing each species by a binary genetic sequence, we introduce a fitness function on the bit sequence. As the evolutionary dynamics, we incoroporate mutation, genetic fusion, and reproduction in proportion to fitness. It is found that genetic fusion leads to the appearance of module-type sequences and duplicated genes. The time necessary to find a sequence with large fitness is largely reduced by the inclusion of genetic fusion, which suggests the application of our algorithm to optimization problems.