עמית גפן מייעץ עבור גופים גדולים ברחבי העולם. כמו כן מכהן כיו"ר וכחבר מועצות מדעיות של חברות בינלאומיות גדולות.
2003- The Prince de Merode Award of the International Olympic Committee, Physical Section, granted at the 7th IOC Olympic World
Congress on Sport Sciences, Athens, Greece.
2006- Taylor and Francis prize for "Outstanding Innovation in Computer Methods in Biomechanics and Biomedical Engineering, Antibes, Côte d'Azur, France.
2009- The Perkins Prize for the Best Paper in Medical Engineering & Physics in 2008, awarded for the paper titled "Inhomogeneity of Tissue-Level Strain Distributions in Individual Trabeculae.
2011- The Raphael Rozin Prize for Rehabilitation, Awarded for the project "Etiological Studies and Evaluation of Means to Prevent Heel Pressure Ulcers", Tel Aviv.
2012-present - a member of the World Council of Biomechanics and a Fellow of the International Academy of Medical and Biological Engineering and the European Alliance for Medical and Biological Engineering
2013- The Nightingale Prize 2012: For Best Paper Published in Medical & Biological Engineering and Computing in 2011.
2013-2015- President of the European Pressure Ulcer Society (the European Pressure Ulcer Advisory Panel, EPUAP)
2015- Editorial Excellence Award, by the Annals of Biomedical Engineering and the Biomedical Engineering Society.
2016- The Advances in Pressure Care Career Award, by the World Union of Wound Healing Societies (WUWHS) and the Journal of Wound Care, awarded at the WUWHS conference in the Fortezza da Basso Conference Center, Florence, Italy.[2]
2017- The European Pressure Ulcer Advisory Panel (EPUAP) Experienced Investigator Award, by the Scientific Committee of the EPUAP, to be awarded at the EPUAP annual conference in Belfast, Northern Ireland, September 20-22nd, 2017.[3]
2018- The Otto Schmitt Award by Award committee of the international Federation of medical & biological Engineering (IFMBE), Prague.