In this chapter we give a survey of results for semi-static hedging strategies for exotic options under different model assumptions and also in a model-independent framework. Semi-static hedging strategies consist of rebalancing the underlying portfolio only at certain pre-specified timepoints during the lifetime of the hedged derivative, as opposed to classical dynamic hedging, where adjustments have to be made continuously in time. In many market situations (and in particular in times of limited liquidity) this alternative approach to the hedging problem is quite useful and has become an increasingly popular research topic over the last years. We summarize results on barrier options as well as strongly path-dependent options such as Asian or lookback options. Finally it is shown how perfect semi-static hedging strategies for discretely observed options can be developed in quite general Markov-type models.