[1] Between 1983 and 1986, he became the Director of Public Relations and Advertising at the Jamaica National Investment Promotions Limited (JNIP).

[1] In September 2007, Mr. Shaw was appointed as Minister of Finance and the Public Service for the Jamaica Labour Party.

[1] In November 2013, he ran against Andrew Holness unsuccessfully for the post of leader of the Jamaica Labour Party; In October, 2013 during the Heroes' Day Awards Ceremony at King's House in Kingston, Mr. Shaw was awarded the Order of Distinction in the rank of Commander for his 20 years of dedicated and honorary service to the House of Parliament.

In the Jamaica General Election held on 3 September 2020 Mr. Shaw won by a margin of 3900 votes in his constituency, North East Manchester.

He shares this victory with the Jamaica Labour Party who celebrate their second term forming the government, having previously won in 2016.