Mr Morgan received the title after being recognised in the Queen's Birthday Honours list for 2016.
After being appointed Chairman in 2009, Sir Terry has been responsible for overseeing the scheme, which will pass through 40 stations from Reading and Heathrow in the west, and through new twin-bore 21 km tunnels to Shenfield and Abbey Wood in the east.
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In addition to being selected as Chair of the HS2 College Governing Body in 2015, he was also appointed to lead the development of a transport infrastructure skills strategy.
Transport Secretary Patrick McLoughlin said: "I am delighted that Terry Morgan has been honoured for all the extraordinary work he has done in overseeing the delivery of the Crossrail project and developing the Government's Transport infrastructure skills strategy.
"By placing engineering skills development at the heart of Crossrail he has shown that delivering huge infrastructure projects on time and on budget and investing in skills go hand in hand."
(LM)
