Object is interaction of the components in the ternary systems {Gd, Tb, Dy, Ho, Er}-Mn-Al. The aim is study of the interaction of the components in the ternary systems {Gd, Tb, Dy, Ho, Er}-Mn-Al. Methods and devices: arc melting (arc melting furnace), anealing (muffle furnace SNOL - 1,6), X - ray diffraction analysis (X - ray device URS - 5, Debye camera RKD - 57,3, powder diffractometers: DRON - 2,0, DRON - 3M, HZG - 4a, PC programs: LAZY, Powder Cell, THREOR-90, LATCON, CSD, DBWS-9411PC), microstructure analysis (microscope NEOPHOT - 30), four-contact method measurements in the range of temperatures 4 - 300 K (cryostats, gidrostatic pressure cells LC 20 for measurements of electrical resistivity at pressure), extraction method for magnetic susceptibility measurements (AC-Susceptometer Modell 7000), magnetisation was measured using RF-SQUID-Magnetometer S603. Results and approach: for the first time the isothermal sections at 870 K in the whole concentration ranges were built for {Gd, Tb, Er}-Mn-Al ternary systems, isothermal sections at 870 K in the ranges of 0 - 33,3 at.% R (R = Dy, Ho) were refined for {Dy, Ho}-Mn-Al ternary systems. The existence of ThMn12 and Th2Zn17 structure types ternary compounds was confirmed, their homogeneity regions were established. For the first time the existence of six new intermetalic compounds have been found and their crystal structures were determined. These compounds belong to the structure types ThMn12, Th2Zn17, Th2Ni17, Dy2-xAgy(Ag0,44Al0,56)17 (x=0,26, y=0,25), related with the CaCu5 type of structure. For the first time the relation between the crystal structure and the type of electrical conductivity of the ternary compounds was found. The electrical conductivity of metallic type occurs only in the structurally ordered RMn4Al8 alloys. The ternary compounds of ThMn12 and Th2Zn17 types of structure of other stoichiometries exhibit hopping conductivity. Ternary aluminides of ThMn12 and Th2Zn17 types of structure are Curie - Weiss paramagnets. Antiferromagnetic orderings occur in these componds at low temperatures. Fields of application: inorganic chemistry, crystal chemistry, science of materials, metallurgy.