An　effective　form-finding　method　for　form-fixed　spatial　network　structures　is　presented　in　this　paper.　The　adaptive　form-finding　method　is　introduced　along　with　the　example　of　designing　an　ellipsoidal　network　dome　with　bar　length　variations　being　as　small　as　possible.　A　typical　spherical　geodesic　network　is　selected　as　an　initial　state,　having　bar　lengths　in　a　limit　group　number.　Next,　this　network　is　transformed　into　the　ellipsoidal　shape　as　desired　by　applying　compressions　on　bars　according　to　the　bar　length　variations　caused　by　transformation.　Afterwards,　the　dynamic　relaxation　method　is　employed　to　explicitly　integrate　the　node　positions　by　applying　residual　forces.　During　the　form-finding　process,　the　boundary　condition　of　constraining　nodes　on　the　ellipsoid　surface　is　innovatively　considered　as　reactions　on　the　normal　direction　of　the　surface　at　node　positions,　which　are　balanced　with　the　components　of　the　nodal　forces　in　a　reverse　direction　induced　by　compressions　on　bars.　The　node　positions　are　also　corrected　according　to　the　fixed-form　condition　in　each　explicit　iteration　step.　In　the　serial　results　of　time　history,　the　optimal　solution　is　found　from　a　time　history　of　states　by　properly　choosing　convergence　criteria,　and　the　presented　form-finding　procedure　is　proved　to　be　applicable　for　form-fixed　problems.　©　2018,　The　Author(s).