The 74ls245 isnt designed to work with 3.3V but it does work. I have tried it.I dont know if it works at the proper speed though.
The output for a 0 is .11V and the output for a 1 is 2V which might not be enough, depending on what the other 3.3V Chip accepts as a 1 and 0.
I think it would be better to use a 74LVC245 but you might as well see if the LS works for you and if it doesnt , switch to the LVC