A bicycle rim assembly with multiple easily-assembled spokes has a rim, a hub and multiple spokes. The rim has multiple fastening holes. The spokes are mounted between the rim and the hub. Each spoke has an inner end and an offset end. The offset end has an inner bent part, an outer bent part and a connecting part. The inner and outer bent parts are bent to opposite directions and are formed on the offset end. The connecting part is formed between the inner and outer bent parts on the offset end. Because the inner and outer bent parts are bent to opposite directions, the offset end of the spoke is mounted securely in the fastening hole of the rim. Therefore, the spoke is easily assembled on the rim.