Method 1: Convert MKV to Android supported video or audio format
Method 2 Install Android MKV Player
Option 1: MoboPlayer
MoboPlayer for Android supports:
All video formats (need to choose "software decoding" mode in most cases);
Popular subtitle formats such as SRT, ASS, and SAA;
Subtitles built in MKV, MPV, MOV, and others;
Multi-audio streams and multi-subtitles;
Playlists and continuous play on same type files;
Videos streamed through HTTP, RTSP protocols;
Media libraries and sort videos by type;
Thumbnail displays of videos.
Option 2: MX Player
MX Player taking almost any file format like MKV in its stride (and offering plugins for the rest), this is the perfect player for movie libraries amassed from a range of sources. It is also a great one to leave with the kids, as its child-lock keeps them out of your inbox and current account.
Claims to "play everything" on its Google Play artwork, it's the most popular option out there. MX Player's big selling point is hardware support that's augmented by multi-core decoding, so if you're running a modern dual-core processor, you ought to see a significant performance boost.
Option 3: VPlayer
VPlayer promises to get the best out of your handset with a choice of hardware or software decoding. Smooth HD MKV playback on Android phone or tablet proves no problem on a dual core device, and it boasts less battery drain than its rivals to boot.