Inductive　reasoning　is　one　of　the　most　important　higher　level　cognitive　functions　of　the　human　brain,　and　we　still　know　very　little　about　its　neural　mechanism.　In　the　present　study,　event-related　potential　(ERP)　and　event-related　fMRI　are　used　to　explore　the　dynamic　spatiotemporal　characteristics　of　inductive　reasoning　process.　We　hypothesize　that　the　process　of　numerical　inductive　reasoning　is　partially　dissociable　over　time　and　space.　A　typical　task　of　inductive　reasoning,　function-finding,　was　adopted.　Induction　tasks　and　calculation　tasks　were　performed　in　the　experiments,　respectively.　ERP　results　suggest　that　the　time　course　of　inductive　reasoning　process　is　partially　dissociable　as　the　following　three　sub-processes:　number　recognition　(the　posterior　P100　and　N200),　strategy　formation　(P300)　and　hypothesis　generation　and　verification　(the　positive　slow　waves).　fMRI　results　show　many　activations,　including　prefrontal　gyrus　(BA　6),　inferior　parietal　lobule　(BA　7,　40),　and　occipital　cortex　(BA　18).　After　the　respective　discussions,　the　two　kinds　of　data　are　combined　qualitatively,　then　the　dynamic　spatiotemporal　characteristic　of　inductive　reasoning　process　are　depicted　using　a　conceptual　figure.　This　study　is　a　preliminary　effort　towards　deeply　understanding　the　dynamic　information　processing　mechanism　of　human　inductive　reasoning　process.