Example valve stem and plug connections and example staking tools are described herein. An example apparatus includes a valve plug having a first side, a second side opposite the first side and a bore extending from the first side to the second side. A first portion of the bore is tapered from a first diameter to a second diameter smaller than the first diameter. A valve stem is disposed within the bore of the valve plug. The valve stem includes a first section, a second section and a third section between the first and second sections. The third section is tapered from a third diameter to a fourth diameter smaller than the third diameter. The tapers of the first portion of the valve plug and the third section of the valve stem, when engaged, create a frictional force that resists movement of the valve stem out of the bore.