The application submitted by the club forms part of its plans to offer more cultural and sporting events to its supporters, the city of Liverpool and those visiting the area.
As part of the plans, LFC can host up to six events per year, which are expected to take place from May 2019.
Bringing a wider programme of events to Anfield is consistent with Liverpool City Council’s aspiration to use music and sport to attract more visitors to the city.
Andy Hughes, chief operating officer at LFC, said: “We would like to thank everyone who has been involved throughout this planning process and, importantly, the local residents who provided valuable feedback at our recent drop-in sessions.