A tubular lock assembly has a tubular lock, a cover, and a disassembling unit. The tubular lock has an annular keyhole and a cover screw hole enclosed by the keyhole. The cover is detachably assembled with the tubular lock, and has a covering board segment, a screw rod segment, and a first fitting segment. The covering board segment covers the keyhole. The screw rod segment is detachably screwed in the cover screw hole of the tubular lock. The first fitting segment is formed on the covering board segment. The disassembling unit has a second fitting segment. The second fitting segment corresponds in shape and size with the first fitting segment of the cover, such that the second fitting segment is adapted to engage with the first fitting segment, and the disassembling unit is capable of rotating the cover.