A stroller frame assembly including a frame body that includes: front and rear leg units; an armrest; a seat support bar disposed below and opposing said armrest; and first and second connecting bars (124, 125); said first connecting bar cooperating with said armrest, said seat support bar and said front leg unit to form a first four-bar linkage mechanism; and said first connecting bar cooperating with said armrest, said second connecting bar and said rear leg unit to form a second four-bar linkage mechanism; said stroller frame assembly further including: a handle pivoted to said first connecting bar and is pivotable relative to said first and second connecting bars (124, 125) between a frontward facing position and a rearward facing position; first, second and third engaging members, said first engaging member being mounted on said handle, said second and third engaging members being connected to said frame body, said first and second engaging members releasably engaging each other to position said handle at the frontward facing position, said first and third engaging members releasably engaging each other to position said handle at the rearward facing position; the stroller frame assembly being characterized in that it further includes: a locking member (32, 34) operable to lock said first connecting bar relative to said second connecting bar thereby locking the frame body against folding; said frame body being foldable upon release from said locking member (32, 34) either when said handle is disposed at the frontward facing position or the rearward facing position; and said first engaging member being driven to slide on said handle along the length of said handle by said frame body upon folding of said frame body when said handle is disposed at one of the frontward and rearward facing positions. front and rear leg units; an armrest; a seat support bar disposed below and opposing said armrest; and first and second connecting bars (124, 125); said first connecting bar cooperating with said armrest, said seat support bar and said front leg unit to form a first four-bar linkage mechanism; and said first connecting bar cooperating with said armrest, said second connecting bar and said rear leg unit to form a second four-bar linkage mechanism; said stroller frame assembly further including: a handle pivoted to said first connecting bar and is pivotable relative to said first and second connecting bars (124, 125) between a frontward facing position and a rearward facing position; first, second and third engaging members, said first engaging member being mounted on said handle, said second and third engaging members being connected to said frame body, said first and second engaging members releasably engaging each other to position said handle at the frontward facing position, said first and third engaging members releasably engaging each other to position said handle at the rearward facing position; a handle pivoted to said first connecting bar and is pivotable relative to said first and second connecting bars (124, 125) between a frontward facing position and a rearward facing position; first, second and third engaging members, said first engaging member being mounted on said handle, said second and third engaging members being connected to said frame body, said first and second engaging members releasably engaging each other to position said handle at the frontward facing position, said first and third engaging members releasably engaging each other to position said handle at the rearward facing position; a locking member (32, 34) operable to lock said first connecting bar relative to said second connecting bar thereby locking the frame body against folding; said frame body being foldable upon release from said locking member (32, 34) either when said handle is disposed at the frontward facing position or the rearward facing position; and said first engaging member being driven to slide on said handle along the length of said handle by said frame body upon folding of said frame body when said handle is disposed at one of the frontward and rearward facing positions.