Game　theory　is　a　prevailing　tool　for　network　formation　model　and　is　used　widely　in　the　field.　The　existing　research　mainly　uses　the　cooperative　or　non-cooperative　game　to　solve　the　network　formation　problem,　but　such　a　game　approach　is　not　well　used　to　reveal　the　essence　of　the　problem.　The　non-cooperative　and　cooperative　biform　game　method　is　used　to　study　the　strategy　optimization　problem　of　the　network　link　formation,　which　can　effectively　combine　the　strategy　design　in　the　non-cooperative　stage　with　the　benefit　distribution　in　the　cooperative　stage.　Firstly,　in　the　non-cooperative　game　stage,　the　strategy　is　designed　and　the　competitive　situations　of　the　2nd　stage　is　formed.　Secondly,　in　the　cooperative　game　stage,　the　coalitions　and　cooperative　games　are　formed　based　on　the　competitive　situations　of　the　non-cooperative　stage　in　the　1st　stage.　Moreover,　the　Semi-CIS　value　is　used　to　solve　the　benefit　allocation　values　of　the　players　in　each　competitive　situation.　Then,　the　obtained　benefit　allocation　values　are　used　as　the　payments　of　the　players　in　the　non-cooperative　game　stage.　The　pure　strategy　Nash　equilibrium　solution　in　the　non-cooperative　stage　is　obtained,　and　the　optimal　solution　of　the　bilateral　link　formation　biform　game　model　is　obtained　(i.e.,　link　connection).　Finally,　the　validity　and　usability　of　the　built　model　are　verified　by　the　numerical　example,　which　can　provide　the　theoretical　method　for　studying　more　complex　network　formation　problems.　©　2020,　Editorial　Office　of　Systems　Engineering　and　Electronics.　All　right　reserved.