Morgan takes over from Rob Stewart who will now report to Morgan as construction director.
BAA also announced that it was making John Holland-Kaye its new commercial director.
Holland-Kaye currently works as operations director for the south at Taylor Wimpey.
Colin Matthews, chief executive of BAA, said: вЂњOver the next five years, we will invest ВЈ4bn at Heathrow alone, to completely renovate and modernise the airportвЂ™s facilities. At the same time, the commercial challenge for our business is greater than ever.
"I am therefore pleased to be strengthening the senior team at this time, with two people of the obvious calibre of Steve Morgan and John Holland-Kaye.вЂќ
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