To get biopoints in Biomutant, you will need to defeat enemies called Biocreeps. These are basically special mutants that will drop these points on death. An example of these mutants would be the morks, which are plant-like creatures.
You can find creatures like the morks all over the game world in special underground areas, so we recommend farming them as they are extremely important.
However, that is not the only way you can earn these biopoints, in fact you can also find capsules all over the world in various locations such as towns and dungeons that will reward you with biopoints.
So keep your eye out as you will need biopoints to unlock new abilities such as spawning mushrooms or flying in mid-air. Along with this, you can also use these points to boost your resistance. This will especially be useful as there are various regions that you will need to adapt to and change your resistance in order to survive in them.
Because of this we highly recommend saving a few points for when you need to visit a certain dangerous area. When you reach this point, simply use the biopoint to boost the relevant resistance by 10 percent, and you will be good to go to visit whatever dangerous location you can think of.