Nature means natural earth and things on it such as mountains, rivers, forests etc that are not made by human beings.
Environment is the total area in which an object or an organism is found. The term environment simply referred to as natural environment consisting of living (biotic) and non living (abiotic) components. The biotic components include plants, animals and micro organisms while the abiotic components include air, water, temperature, soil, etc.
Environments are part of nature. We live in planet having different types of environments but all of them are part of nature.
Environment is the surroundings of, and influences on, a particular item of interest while nature is (uncountable) the natural world; consisting of all things unaffected by or predating human technology, production and design example the ecosystem, the natural environment, virgin ground, unmodified species, laws of nature.