IAC-pop is a code designed to solve the star formation history (SFH) of a complex stellar population system, like a galaxy, from the analysis of the color-magnitude diagram (CMD). It uses a genetic algorithm to minimize a χ2 merit function comparing the star distributions in the observed CMD and the CMD of a synthetic stellar population. A parameterization of the CMDs is used, which is the main input of the code. In fact, the code can be applied to any problem in which a similar parameterization of an experimental set of data and models can be made. The method's internal consistency and robustness against several error sources, including observational effects, data sampling, and stellar evolution library differences, are tested. It is found that the best stability of the solution and the best way to estimate errors are obtained by several runs of IAC-pop with varying the input data parameterization. The routine MinnIAC is used to control this process. IAC-pop is offered for free use and can be downloaded from the site http://iac-star.iac.es/iac-pop. The routine MinnIAC is also offered under request, but support cannot be provided for its use. The only requirement for the use of IAC-pop and MinnIAC is referencing this paper and crediting as indicated in the site.