The papers were filed at the Supreme Court on Thursday after High Court Judge Justice Tendai Uchena had granted them leave to appeal against the refusal of bail by the High Court.
Charles Kwaramba, the lawyer representing the seven said he hoped the matter will be heard before the end of the year.
They have been in custody for seven months.
The MDC T says the charges are “fake” and trumped-up saying the plainclothes policeman was killed by unknown reveler during a beer brawl.
The seven are among 28 MDC activists who are facing charges of murdering a police officer at a shopping centre in Glen View.
Among them is Solomon Madzore, the MDC-T Youth Assembly chairperson who was denied bail on Monday.
Madzore is being detained at the Chikurubi Maximum Prison.
Meanwhile, Wilstaf Sitemere, the MDC Masvingo provincial chairperson who was arrested in November on false charges of assaulting a Zanu-PF supporter, Nyasha Mazorodze who appeared in court on Tuesday for routine remand and the matter was postponed to 20 December. Sitemere is on a US$50 bail.