  We address the mu-problem in the context of General Gauge Mediation (GGM). We
classify possible models depending on the way the Higgs fields couple to the
supersymmetry breaking hidden-sector. The different types of models have
distinct signatures in the MSSM parameters. We find concrete and surprisingly
simple examples based on messengers in each class. These examples lead to all
the soft masses and a consistent Higgs-sector.
