This study aims to investigate the techniques of teaching new lexis which are adopted by non-native teachers of English language. It also aims to investigate the strategies of learning new lexis which are adopted by learners in relation to their level. The work is based on two hypotheses: It is hypothesized that there is a relationship between the techniques and strategies which are used for teaching and learning new English lexis. It is hypothesized that the level of learner, might not affect his or her choice for a particular strategy. To test these hypotheses, the researcher has chosen a purposive sample: the pupils of the seventh class, the eighth class and teachers of English language at the Basic level schools, in the River Nile State, Sudan, in the school year 2014. The instruments which were used to collect data, were two questionnaires (a teachers' version and a pupils' version). To analyze and interpret the data percentages and Chi Square were used. The results showed that there is a relationship between the techniques of teaching and the strategies of learning new lexis.The chi-square test showed that, the results were statistically significant at level 0.05 and this supports the second hypothesis that the learner's stage of learning does not affect his or her choice of a particular strategy.