funeral march

procession for accompanying the deceased to the grave

A funeral march or dead march is a march, usually in a minor key, in a slow "simple duple" metre, imitating the solemn pace of a funeral procession. Some such marches are often considered appropriate for use during funerals and other sombre occasions.
See more at Wikipedia.org...

Noun
1. a slow march to be played for funeral processions
(synonym) dead march
(hypernym) processional march, recessional march

Synonyms and related words:
andante, claudication, coronach, crawl, creep, dead march, death knell, death song, dirge, dogtrot, elegy, epicedium, eulogy, footpace, funeral oration, funeral song, graveside oration, hobble, jog, jog trot, keen, knell, leisurely gait, limp, lumbering pace, march, martial music, military march, military music, mincing steps, monody, muffled drums, passing bell, plod, processional march, quick march, quickstep march, rack, recessional march, requiem, saunter, shamble, shuffle, slouch, slow march, slow motion, stroll, threnode, threnody, trudge, waddle, walk, wedding march