Are you looking for something like
In[3]:= Sort[ { {{1, 2, 3}, {4, 7, 5}, {6, 0, 8}}, {{1, 2, 3}, {4, 5,
0}, {6, 7, 8}} , {{1, 0, 3}, {4, 2, 5}, {6, 7, 8}} }]
Out[3]= {{{1, 0, 3}, {4, 2, 5}, {6, 7, 8}}, {{1, 2, 3}, {4, 5, 0}, {6,
7, 8}}, {{1, 2, 3}, {4, 7, 5}, {6, 0, 8}}}
In this case, numerical order and lexical order are the same.
The ordering procedure that Sort uses is described in the Details section of
ref/Sort .