This chapter introduces the major types of convective storms and their classification into ordinary-cell convective storms, multicell convective storms, and supercell convective storms. Making use of the radar knowledge gained in the previous chapter, we will discuss how the different storm types can be identified from images of radar reflectivity, as well as from sounding profiles in tephigrams. The chapter explains convective storm formation and the role of key parameters, such as vertical wind shear, vorticity, and CAPE. It also covers how tornadoes can form from supercell convective storms, and introduces mesoscale convective systems such as squall lines. Hail formation, closely connected to a convective cloud system, is discussed. Moreover, charge separation in clouds and how it can lead to the formation of lightning and thunder is explained within the framework of the global electrical circuit. The chapter also includes an in-depth discussion of tropical cyclones, pre-requisites for their formation, and their occurrence frequency and lifecyle. Making use of thermodynamic principles, we discuss how tropical cyclones can be viewed as Carnot engines. Differences between tropical and extratropical cyclones are discussed.