I agree with what Claire has said, but would suggest a slightly different form.
Where you are stating that he, as well as other people, is able to do something, use the word ‘too’, which has the same meaning: ‘He too can speak English’.
If you are saying that, in addition to his own language, or other languages, he can speak English, then place ‘also’ after ‘can’ : ‘he can also speak English’.
You cannot use ‘too’ directly after ‘can’ unless the sentence finishes at that point i.e. ‘he can too’, which is short for ‘he can do that too’. This form is equivalent to placing ‘also’ at the end of the sentence: ‘he can speak English also’, or ‘he can speak English too’ i.e. he can speak English as well as other languages.
To summarise: ‘too’ or ‘also’ before the modal verb - in relation to other people ;
‘also’ directly after the modal, or either ‘too’ or ‘also’ at the end of the sentence - in relation to other languages.