This　paper　develops　a　LQ　dynamic　optimization　control　method　for　time-variant,　discrete-time,　multivariable　system　based　on　Boltzmann　machines.　By　building　the　equivalent　relation　between　the　LQ　performance　index　and　the　energy　function　of　Boltzmann　machines,　the　Boltzmann　machine　can　be　constructed　and　its　parameters　will　be　calculated　When　the　network　operates　from.　its,initial　state　to　the　stable　state,　the　desired　optimal　control　sequence　that　corresponding　to　the　state　of　the　Boltzmann　machine　can　be　obtained.　Theoretical　analysis　and　an　illustrated　example　are　given,　and　the　simulation　results　agree　well　with　theoretical　analysis.