A random central force network model of a gel is constructed by relaxation of a bond diluted simple cubic lattice of Hooke's law springs under tension. The bond dilution procedure, which defines the model, involves a two stage process. First, the random removal of bonds connecting nodes at least one of which has a connectivity greater than a prescribed maximum value. Then the random removal of bonds to obtain any desired value of the mean node connectivity. The fracture of such a network under an incrementally applied uniaxial strain is studied by including a maximum value,Lb, for the extension of any spring before irreversible breakage. Random networks with maximally fourfold and maximally threefold connected nodes show qualitatively similar stress-strain curves, but quantitatively differ even when the mean node connectivities of the networks are the same. For sufficiently largeLb, the maximum value of the tension is linearly proportional toLbfor random networks with either maximally fourfold or maximally threefold connected nodes.