Recent　advances　in　resistive　synaptic　devices　have　enabled　the　emergence　of　brain-inspired　smart　chips.　These　chips　can　execute　complex　cognitive　tasks　in　digital　signal　processing　precisely　and　efficiently　using　an　efficient　neuromorphic　system.　The　neuromorphic　synapses　used　in　such　chips,　however,　are　different　from　the　traditional　integrated　circuit　architectures,　thereby　weakening　their　resistance　to　malicious　transformation　and　intellectual　property　(IP)　counterfeiting.　Accordingly,　in　this　paper,　we　propose　an　effective　hybrid　encryption　methodology　for　IP　core　protection　in　neuromorphic　computing　systems,　in-corporating　elliptic　curve　cryptography　and　SM4　simultaneously.　Experimental　results　confirm　that　the　proposed　method　can　implement　real-time　encryption　of　any　number　of　crossbar　arrays　in　neuromorphic　systems　accurately,　while　reducing　the　time　overhead　by　14.40%-26.08%.　©　2020　IEEE.