Detectives investigating the death of the Heckmondwike man arrested two teenagers on Friday as their inquiry continues.
West Yorkshire Police confirmed on Saturday morning (July 18) that they had charged the 16-year-old, from Dewsbury, with murder, attempted murder and joint enterprise.
The 18-year-old man who was also arrested has been released on police bail.
Mr Gledhill, 20, died after being stabbed in a fight in Park Croft, Batley, on Sunday, June 21.
A number of arrests have been made by the Homicide and Major Enquiry Team (HMET).
Three men and a teenage boy have already appeared at Leeds Magistrates' Court, charged with Mr Gledhill's murder. They have also been charged with attempted murder.
Anyone who has any information which could assist the police investigation is asked to contact the Homicide and Major Enquiry Team on 101 referencing police crime number 1320031042. Information can also be given in complete anonymity to the independent Crimestoppers charity on 0800 555 111.