GO:0018106:   peptidyl-histidine phosphorylation
The phosphorylation of peptidyl-histidine to form peptidyl-1"-phospho-L-histidine (otherwise known as tau-phosphohistidine, tele-phosphohistidine) or peptidyl-3"-phospho-L-histidine (otherwise known as pi-phosphohistidine, pros-phosphohistidine).