Lysosome and peroxisome are same in functions and that is to kill the harmful microorganisms and cells of our body but they have some difference in characters like,
1. Lysosome is found in only animals but peroxixome is found in all eukaryotes.
2. Lysosome have degradable enzymes but peroxixome has oxidative enzymes.
3. Degradative reactions don't produce energy but oxidative reactions in peroxisome for having the oxidative enzyme produces ATP.
4. Mainly works for the digestions of nutrients in the cells but on the other hand peroxisomes work for the protection of cells against metabolic hydrogen peroxide.
5. Lysosome is larger than peroxisome in physical size.
6. Lysosome is derived from Golgi apparatus but peroxisome mainly derived from endoplasmic reticulum.