A rocker chair base assembly employs a set of unitary composite cam members to enable a user to engage in a rocking motion with a chair mounted over the assembly. Each cam member presents a rigid body with a set of laterally projecting sleeves. A first set of angle cross members serve to interconnect longitudinal rails on which the cam members reside, and a second set of angle cross members serve to interconnect adjacent cam members. Specifically, the laterally projecting sleeves of each cam member present a mating angle profile for slidably receiving therein and securely attaching with longitudinal end regions of the second set of angle cross members.