Bulk metallic glass formations in the Fe-B-Y-Nb quaternary alloy system were investigated by using the cluster line rule in combination with the minor alloying principle. The Fe-B-Y ternary system was selected as the basic system and the intersections of cluster lines were taken as the basic ternary compositions. The basic compositions were further alloyed with minor amounts of Nb. After 3-5 at.% Nb was added, the basic composition Fe 68.6 B 25.7 Y 5.7 , which was developed from the most densely packed cluster Fe 8 B 3 , formed 3 mm bulk metallic glasses. These quaternary bulk metallic glasses (Fe 68.6 B 25.7 Y 5.7 ) 100-x Nb x (x = 3-5 at.%) are expressed approximately with a unified simple composition formula: (Fe 8 B 3 ) 1 (Y, Nb) 1 . The (Fe 68.6 B 25.7 Y 5.7 ) 97 Nb 3 bulk metallic glass has the largest glass forming ability with the following characteristic parameters T g = 907 K, T x = 1006 K, T g /T l = 0.644, γ = 0.434, and longness t = 22 mm. The combination of the cluster line rule and the minoralloying principle is a promising new route towards the quantitative composition design of multi-component metallic glasses. bulk metallic glass, Fe-B-Y-Nb alloys, cluster, composition designRecently, two classes of Fe-based bulk metallic glasses (BMGs) have been developed: Nonferromagnetic (such as Fe-Mn-Cr-Mo-C-B, Fe-Cr-(Ln, Y)-Mo-C-B) [1][2][3][4][5] and soft magnetic (such as Fe-(Al, Ga)-P-B-C, Fe-TM (TM = Co, Zr, Nb, Ta, Mo, W)-B) BMGs [6] , which are drawing more attention due to their superior mechanical and magnetic properties. However, compared with Pd-, Zr-and Cu-based BMGs with large glass forming abilities (GFAs), Fe-based BMGs have relatively weak GFAs and are formed only in multi-component systems, generally containing five or more than five constituents [1,7] (except a few ternary systems such as Fe-B-Y which can form BMG rods with a diameter of 2 mm [8] ). Furthermore, Fe-based BMGs are very composition-sensitive and the BMGs-forming range is quite small. Therefore, in order to avoid the blindness in searching for BMGs in complex multi-component systems, the composition design is of great importance for