As　the　world＇s　largest　carbon　dioxide　emitter,　China　is　curbing　coal　consumption　and　increasing　natural　gas　and　renewable　energy　consumption　to　curb　the　increase　in　carbon　emissions.　At　the　same　time,　China　is　still　the　largest　developing　country　in　the　world.　Therefore,　it　is　very　important　to　investigate　the　links　between　different　types　of　energy　consumption,　economic　growth,　and　carbon　emissions.　In　this　paper,　impulse　response　functions　and　Granger　causality　test　based　on　time-varying　parameters　vector　autoregressive　model　are　used　to　explore　the　time-varying　relationship　among　CO2　emissions,　economic　growth,　and　heterogeneous　energy　consumption　(coal,　gas,　oil,　and　renewable　energy)　in　China　over　the　period　1980-2019.　The　results　show　that　reducing　coal　and　oil　consumption　and　increasing　natural　gas　and　renewable　energy　consumption　will　not　significantly　hinder　economic　growth.　In　addition,　in　the　long　run,　reducing　coal　and　oil　consumption　and　increasing　renewable　energy　consumption　can　significantly　reduce　carbon　emissions.　However,　after　1998,　increasing　natural　gas　consumption　will　significantly　increase　carbon　emissions.　This　study　reveals　the　time-varying　relationship　between　heterogeneous　energy　consumption,　economic　growth,　and　carbon　emissions,　and　provides　suggestions　for　China　to　achieve　low-carbon　economic　growth.