Voltage　tuning　of　magnetism　is　fundamentally　and　technically　important　for　fast,　compact　and　ultra-low　power　electronic　devices.　Multiferroic　heterostructures,　simultaneously　exhibiting　distinct　ferroelectric　and　ferromagnetic　properties,　have　caught　a　lot　of　attentions　because　of　the　capability　of　controlling　magnetism　by　a　voltage　via　a　strain-mediated　magnetoelectric　(ME)　coupling.　In　these　materials,　a　voltage-induced　strain　is　involved　to　create　an　effective　magnetic　field　and　change　ferromagnetic　resonance　frequency　in　the　coupled　ferromagnetic　phases　through　magnetoelastic　interactions.　Therefore,　the　devices　made　of　such　materials　are　compact,　ultra-fast　and　energy　efficient,　providing　new　functionalities　for　microwave　components.　This　paper　will　review　the　recent　progress　of　multiferroics　and　their　applications　in　microwave　devices　from　different　aspects,　including　the　creation　of　the　novel　laminated　multiferroic　heterostructures　with　a　strong　ME　coupling,　the　realization　of　the　multiferroics　based　on　tunable　microwave　signal　processors　and　the　investigation　of　nonvolatile　tuning　of　microwave　properties　using　ferroelastic　domain　switching　in　multiferroic　heterostructures.　These　tunable　multiferroic　heterostructures　and　devices　offer　great　opportunities　for　realizing　the　next　generation　of　tunable　magnetic　microwave　components,　ultra-low　power　electronics　and　spintronics.