Both new hires come into effect on January 1, according to toy-industry publication Kidscreen.
Goldin replaces Mads Nipper, who left the company in March. Goldin was most recently Revlon's EVP and global CMO.
Shuster joins the company from Google, where he was managing director for brand solutions in Asia-Pacific. He was previously vice president of marketing for SingTel.
Although criticism recently forced the company to end a long marketing partnership with Shell, Lego has had a good run and recently surpassed Mattel to become the world’s largest toy company. In September the company reported sales grew 11 per cent in the first six months to $2.03 billion, driven in part by The Lego Movie products.