There is no item 'History' in 'Chrome menu' as suggested here:
If you type direct into the web address box in iOS chrome some words relevant to the item in the history, then the page should appear in the drop-down list.
If you are using Chrome on iOS there doesn't seem to be a global history section as there is when using Chrome on your Mac.
On a Mac you would press the "hotdog" menu button and simply select history.
On iOS the only method I have seen for browsing history is holding the back button down for a couple seconds in each tab. Holding this button own will then give you a list of the most recently visited pages for this particular tab.
There is the option of deleting browsing history, but as yet there is no option to view it.