A container and cover combination and method of assembling the same is disclosed. The container and cover combination include a container 12 having a neck portion 20 defining an opening 22 into the container 12. A removeable cover 16 is fastened onto the neck portion 20. The cover assembly includes a tamper evident mechanism for indicating an attempted opening of the cover assembly. The tamper evident mechanism includes a substantially cup-shaped cap member 18 having a fractureable portion 30 and one way threads for locking the cap member 18 against unthreading from the neck portion 20 when the cap member 18 is rotated in one direction relative to the neck portion 20 and for forcing the cap member 18 further onto the neck portion to fracture the fractureable portion 30 when the cap member 18 is rotated in the opposite direction relative to the neck portion 20 thereby evidencing the attempt at opening.