Blockchain technology has revolutionized various industries, offering decentralized and tamper-resistant data storage and transaction capabilities. However, traditional consensus mechanisms, such as proof-of-work (PoW) and proof-of-stake (PoS), face energy consumption, scalability, and security challenges. This chapter proposes a novel consensus mechanism called “BIONET,” a bio-inspired neural network for blockchain systems. BIONET integrates the principles of swarm intelligence and artificial neural networks to achieve efficient, secure, and adaptive consensus in blockchain networks. The authors present the architectural overview of BIONET, highlighting its adaptability and self-organization capabilities. Furthermore, they demonstrate BIONET's effectiveness in PoW, PoS, and practical byzantine fault tolerance (PBFT) consensus mechanisms. Finally, they discuss the future directions and challenges of BIONET, paving the way for bio-inspired optimization techniques in blockchain systems.