The easiest way to copy files from one server to another over ssh is to use the scp command. For calling scp you'd need the subprocess module.
example
import subprocess p = subprocess.Popen(["scp", "my_file.txt", "username@server:path"]) sts = os.waitpid(p.pid, 0)
You need the waitpid call to wait for the copying to complete.
Another solution is to open a ssh connection and use the scp module.
example
from paramiko import SSHClient
from scp import SCPClient
ssh = SSHClient()
ssh.load_system_host_keys()
ssh.connect('user@server:path')
with SCPClient(ssh.get_transport()) as scp:
scp.put('my_file.txt', 'my_file.txt') # Copy my_file.txt to the server