This　paper　presents　an　approach　that　applies　the　Artificial　Bee　Colony　algorithm　to　the　Two-Terminals-Net-Routing(TTNR)　problem　in　VLSI　physical　design　and　compares　its　performance　with　the　maze　algorithm　variant　known　as　the　state-of-the-art　global　routing　algorithm.　An　effectively　encoding　method　is　described　in　this　paper　to　solve　the　TTNR　problem.　In　order　to　improve　the　convergence　speed　of　the　algorithm,　some　guiding　solutions　are　employed　as　the　initial　solutions.　The　experimental　results　demonstrate　that　Artificial　Bee　Colony　algorithm　can　find　the　less　cost　routing　paths　for　TTNR　problems　than　the　maze　algorithm.