Is it possible to install a ssd in my desktop pc, if there is no space left in my motherboard to connect it?

[Amit_2045]

All two sata ports of my motherboard are connected to hdd and dvd drive.

 

[SkyNetRising]

Sure. Get sata controller card.
https://www.newegg.com/Product/ProductList.aspx?N=100007607 600022631&IsNodeId=1&Submit=ENE

 

[Tech_TTT]

All two sata ports of my motherboard are connected to hdd and dvd drive.

Which motherboard do you have ?

 

[Amit_2045]

I have Gigabyte G31 Motherboard.

 

[SkyNetRising]

I have Gigabyte G31 Motherboard.

That's not a precise model name.
Gigabyte has at least 10 models of G31 :
http://www.gigabyte.com/Motherboard/Intel-Socket-775

 

[Ditt44]

You have options. If you don't want to go the easy route and get an add-in card, you can do a clone and replace.

Depending on what size your SSD is and your intended use... I am going to assume things here.
- Disconnect the non-OS drive.
- Plug in the new SSD
- Clone the HDD to the SSD, moving your OS there.
- Disconnect the HDD
- Reconnect the second HDD
- Restart your system and in your BIOS make sure you designate the SSD as your boot device
- If you're SSD is large enough, you can copy over files from your second HDD

Granted, I assume you will stick with two devices. The add-in card is a cheap option to have more drives unless you replace your motherboard. If you get an add-in card, be sure you have SATA III cables that will reach, odds are you need to buy new ones.

 

[SkyNetRising]

BTW all Gigabyte G31 boards have 4 sata ports (not 2).