This section provides basic information about the spheroidal graphite cast iron (SGI) and compacted graphite cast iron (CGI) which belong to the group of high-quality cast iron. The classification of SGI and CGI according to ISO standards, their characteristics and the use of modern types such as ADI or Si-Mo were provided. The solidification path was shown, pointing to the important role of surface active elements in shaping the form of graphite. Models presenting eutectic grain growth in SGI and CGI were also described. It was also shown that in this connection, the main surface active elements (O and S) cause changes in the growth direction, and additionally, the so-called anti-spheroidizers, such as Ti, Bi, Zr, P and N, characterized by strong normal segregation, lower the liquidus temperature of the melt, thus creating the liquid channels that characterize CGI, which then stimulate the formation of compacted graphite. The issues of the number of eutectic grains, the cooling rate and the occurrence of defects in castings were raised. Finally the spheroidizing/compacting treatments have been shown along with the general scheme of the SGI/CGI preparation process.Spheroidal graphite cast iron (SGI) and compacted graphite cast iron (CGI) belong to the group of high-quality cast iron, the production of which is continually increasing. The general classification of cast iron is shown in Fig. 6.1.Currently, SGI and CGI, belongs to a group of the most important engineering materials, in view of its:• high mechanical properties, • significant savings in cost and weight (compared to equivalent steel and aluminum alloys), • excellent combination of good castability and machinability, • less sensitive to the cooling rate compared to cast iron (FGI), • provides the starting material for the production of "high tech" austempered ductile iron (ADI) and austempered vermicular cast iron (AVCI),