Major General Parami Kulatunga was an old boy of the Trinity College Kandy. He joined to the Sri Lanka Army on July 20, 1971 and was commissioned as a Second Lieutenant of the First Battalion, Gemunu Watch on October 14, 1972.

General Kulatunga served in a number of staff officer posts - General Staff Officer, Deputy General Officer (Commanding), Director Training at Army Head quarters in 1996 and Head Deputy General Officer for Mirusuvil and Elephant Pass between 1997 and 1998. He also served as General Officer Commanding of 52nd Division at the same time.

Kulatunga served as General Officer Commanding for Wanni between 2000 and 2001 and 11th division Panagoda until October 2001 same year.

He became the Commander Security Force Headquarters Jaffna in 2003 and served until he took over as Director General (General Staff) Army Headquarters on September 06, 2003.

Afterwards he was appointed Commander Security Force Headquarters Wanni effective from August 10, 2004.

General Kulatunga was appointed as Deputy Chief of Staff of the Sri Lanka Army on December 22nd, 2005.

He had followed several military education and training programmes in USA and followed Senior Command course in India, Advanced Intensive Course in Singapore and Intelligence Task Course India.

Kulatunga has represented several international military conferences including the special operation in the USA. He was a highly decorated officer who was awarded Rana Sura Medal, Riviresa Campaign Medal, Purna Bhumi Medal, North and East Operation Medal, Deshaputhra Medal.