Exploration of rare-earth (RE)-based Kagomé lattice magnets with spin-orbital entangled jeff=1/2 moments will provide new platform for investigating the exotic magnetic phases. Here, we report a new family of RE3BWO9 (RE=Pr,Nd,Gd-Ho) boratotungstates with magnetic RE 3+ ions arranged on Kagomѐ lattice, and perform its structure and magnetic characterizations. This serial compounds crystallize in hexagonal coordinated structure with space group P63 (No.173), where magnetic RE 3+ ions have distorted Kagomé lattice connections within the ab plane and stacked in a AB-type fashion along c axis. The interlayer RE-RE separation is comparable with that of intralayer distance, forming 3-dimensional (3D) exchange coupled magnetic framework of RE 3+ ions. The magnetic susceptibility data of RE3BWO9 (RE=Pr, Nd, Gd-Ho) reveal dominant antiferromagnetic interactions between magnetic RE 3+ ions, but without visible magnetic ordering down to 2 K. The magnetization analyses for different RE 3+ ions show diverse anisotropic behaviors, make RE3BWO9 as an appealing Kagomé-lattice antiferromagnet to explore exotic magnetic phases.