Preheat oven to 350 degrees F (175 degrees C). Grease cookie sheets.
In a large bowl, cream together the butter, brown sugar and white sugar. Beat in the eggs, one at a time then stir in the vanilla. Combine the flour, baking soda and cinnamon; stir into the creamed mixture. Blend in the oatmeal and toffee bits. Drop by rounded spoonfuls onto the prepared cookie sheet.
Bake for 8 to 10 minutes in the preheated oven. Allow cookies to cool on baking sheet for 5 minutes before removing to a wire rack to cool completely.