ConnectBot

1.9.6

ConnectBot is a powerful SSH client designed for the Android platform that makes use of features available to its users. Read more about ConnectBot  

SSH stands for secure shell, and it’s not the kind of features that you can expect to see on Android, but we have to keep in mind that it’s basically a heavily modified Linux distribution. This means that, in theory, you can run pretty much anything you want in an Android system and that includes a complete SSH client.
ConnectBot can manage simultaneous SSH sessions, create secure tunnels, and copy/paste between other applications. Furthermore, the application can also connect to Secure Shell servers that are normally found on Unix-based servers.
The only downside is the size of the screen which can make it difficult to have both the keyboard and the output on the same screen.