A double safe child resistant cap for medicine containers includes a cap with a cap main structure having a side wall and a top, and including: a) a first safe child resistant cap mechanism requiring compound movement to unlock; and b) a second safe child resistant cap mechanism including (i) a coupling rod attached to said cap main structure top and extending upwardly and (ii) a push-pull valve connected to said container for dispensing therefrom, said push-pull valve having a force-fit coupling rod receiver, wherein said push-pull valve has a down closed position and an up position, which is an open position to permit dispensing. Another embodiment includes a dosage cup with the coupling rod in place of a cap top coupling rod.