The UK financial market system is huge, more clearly divided and more functional. Under the impact of the world financial innovation trend and the increasing competition in the international financial market, the UK financial market has made quite bold financial innovations. The internationalization trend of the UK's emerging financial market, capital market and London foreign exchange market are all strengthening. The efficiency of financial markets has a significant impact on the effective functioning of financial markets and thus on the efficiency of real economic operations. Market efficiency is influenced by a variety of factors. This paper examines market efficiency in detail from the perspectives of resource allocation theory, incomplete information theory, institutional economics theory and behavioral economics theory, and concludes that market efficiency is the result of a combination of factors such as resource allocation, and information, economic behavior. According to the efficient market hypothesis, investment decisions are largely determined by market efficiency. However, even the most developed financial markets in the world today are hardly guaranteed to conform to the perfect competition hypothesis. In summary, the study of market efficiency issues has far-reaching practical implications for the UK emerging financial markets in the transition period.