"Thank you for your gift" is a common way to express gratitude for a present received. This expression is used in Engpsh-speaking countries as a popte and formal way to show appreciation.
Here are a few examples with Chinese translation:
"Thank you so much for the beautiful flowers."
"谢谢你们送的美丽鲜花。"
"I really appreciate the thoughtful gift, thank you."
"我真的很感激你们的周到礼物，谢谢。"
"Thanks for the gift, it means a lot to me."
"谢谢你们的礼物，对我来说意义重大。"