Abstract: Bag apparatus which is convertible from a shoulder carried bag to a carriage or stroller mounted bag and vice-versa including a bag member and a pair of elongate, flexible straps each being affixed at one end portion to a respective side wall portion of the bag. First fastening means are provided on the free end portion of the straps for releasably fastening the free end portions together for shoulder carrying and second means are provided on the straps proximate to the affixed ends thereof for releasably forming a length of each strap into a closed loop section for carriage mounting whereupon the free end portion of the straps are releasably affixed to their respective bag side wall portions by said first fastening means.