How to play FLV on Mac:
We must pick one best FLV player or FLV viewer. I recommend FLV Viewer for Mac. It is a simple Macintosh application that allows the user to watch local FLV files (flash digital video files) on Mac.
It is very user-friendly. Install and run the application.

Use the "Choose Folder" button to point to a folder of FLV files. Click on the name of the file you want to view and you are away. If you want to view another file, click on that name of that file. The application will resize to any size FLV file. The default FLV size is 320x 240. The file will be resized to the correct size once it was loaded. Then you can view the digital video files.
How to convert FLV on Mac:
Use Aimersoft Video Converter for Mac. It can help you easily convert most of popular video formats including FLV to other video formats like AVI, MPEG, MP4, MP3, WMV, MOV, 3GP and so on. Moreover, It supports popular players such as iPod, Zune, iPhone, Apple TV, PSP, PS3, Xbox 360, Archos, Sandisk, iRiver, Creative Zen, PMP, MP4/MP3 Player, Smart Phone, Pocket PC, PDA, Mobile Phone.
Here is the simple guide for converting FLV to MP4 :
Step1. Install and run Aimersoft Video Converter for Mac. Hit "Add" button to input your FLV videos. This Video Converter for Mac support batch conversion. It is convenient for you to import multiple files at a time.

Step2. This software can convert video to various video formats for iPod, iPhone, PSP, Zune, cell phone, etc. Click the "Format" drop-down list to select the format you prefer for each added file. If you don't know what formats your device supports, you can just select the format according to the device name.

If you want to customize the output quality, click the "Settings" button to open the Settings panel. There you can set resolution, frame rate, video bit rate, audio bit rate, sample, etc. If you don't want to do these settings, the default settings will just work perfectly.

After finishing all the necessary settings, just click "Start" to begin the conversion. Then you can get wanted videos. Enjoy this software for Mac.