This article explains how to setup remote SSH access to an ASA running Cisco IOS 8.4. In the latest version of Ciscos ASA software (8.4) SSH access must be authenticated using AAA. It is assumed you have already create the necessary user account.
Method One Via ADSM
Add the remote IP address
Then enable local authentication
Method Two Command line
Enter the below substituting X.X.X.X with your IP.
aaa authentication ssh console LOCAL
ssh X.X.X.X 255.255.255.255 outside
Note if this is the first ssl connection you are setting up you may need to generate a key pair
crypto key generate rsa