Induction　coils　are　an　important　device　for　magnetic　field　measurement,　and　they　are　widely　applied　in　the　electromagnetic　non-destructive　testing　and　magnetotelluric　measurement　because　of　the　simple　structure　and　reliable　performance,　such　as　Barkhausen　noise　and　eddy　current　testing.　However,　the　self-capacitance　of　induction　coils　largely　determines　their　performance　especially　at　high　frequencies,　such　as　sensitivity　to　the　variation　of　the　magnetic　field　and　the　operation　frequency　range.　To　accurately　predict　the　self-capacitance　of　multi-layer　circular-section　induction　coils　with　hexagonal　winding,　an　analytical　model　is　proposed　in　this　paper.　The　comparative　study　between　the　existing　models　and　the　new　hexagonal　model　indicates　that　the　hexagonal　model　has　the　higher　prediction　accuracy　for　the　induction　coils　with　standard　or　flyback　winding.　Moreover,　the　dependencies　of　the　self-capacitance　on　the　geometrical　and　winding　parameters　are　investigated　for　the　purpose　of　optimizing　the　self-capacitance　of　multi-layer　circular-section　induction　coils.