Abstract This paper reported the improvement of teaching English Pronunciation. As a teacher of English, the researcher of the present investigation wanted to learn more about aspects that may influence language learners when they learn to speak English. In this respect, the consonant clusters are not very common in the Vietnamese language. As a result, some common difficulties that Vietnamese students encounter when they learn to pronounce English sounds need to be investigated. This may enable the researcher to teach effectively and help them communicate more effectively. To be precise, the problems of pronunciation of English initial consonant clusters performed by first-year non-English major students at Ton Duc Thang University have been investigated. The subjects of the study were students majoring in electrical engineering and business administration at Ton Duc Thang University. These students have studied English for seven years at the high school level. The paper only focused on initial clusters such as: /pr/, /θr/, /fr/, /spr/ in isolated words and sentences. The results showed two common mistakes: 1) omitting one or two consonants in the cluster and 2) changing one consonant to another one. Based on the analysis results, some suggestions were proposed for teaching and practicing methods of the problematic initial consonant clusters pronunciation.