"British" Empiricism refers to the 18th century philosophical movement in Great Britain which maintained that all knowledge comes from experience. Continental Rationalists maintained that knowledge comes from foundational concepts known intuitively through reason, such as innate ideas. Other concepts are then deductively drawn from these. British Empiricists staunchly rejected the theory of innate ideas and argued that knowledge is based on both sense experience and internal mental experiences, such as emotions and self-reflection. 18th century British Empiricists took their cue from Francis Bacon who, in the very first aphorism of his New Organon, hails the primacy of experience, particularly the observation of nature:

Humans, who are the servants and interpreters of nature, can act and understand no further than they have observed in either the operation or the contemplation of the method and order of nature.
Although British Empiricists disavowed innate ideas, in favor of ideas from experience, it is important to note that the Empiricists did not reject the notion of instinct or innateness in general. Indeed, we have inborn propensities which regulate our bodily functions, produce emotions, and even direct our thinking. What Empiricists deny, though, is that we are born with detailed, picture-like, concepts of God, causality, and even mathematics.
Like Bacon, British Empiricists also moved away from deductive proofs and used an inductive method of arguing which was more conducive to the data of experience. In spite of their advocacy of inductive argumentation, though, British Empiricists still made wide use of deductive arguments. Commenting on the use of induction in the history of philosophy, 19th century Scottish philosopher James McCosh argues that induction is more representative of later Scottish philosophy than it is of earlier British Empiricism, specifically that of Locke:

It cannot be denied that Locke does proceed very largely in the way of observation; but it is a curious circumstance that he nowhere professes to follow the method of induction; and his great work may be summarily represented as an attempt to establish by internal facts the preconceived theory, that all our ideas are derived from sensation and reflection. To the Scottish school belongs the merit of being the first, avowedly and knowingly, to follow the inductive method, and to employ it systematically in psychological investigation.
Three principal philosophers are associated with British Empiricism: John Locke, George Berkeley, and David Hume. Occasionally 19th century philosopher J.S. Mill is added to this list. But even restricting the British Empiricist movement to the above figures is somewhat misleading. Until the rise of English idealism around 1850, all British philosophy after Locke bears the marks of his empiricism. More than any other philosopher, Locke was cited as an authority by philosophers, philosophical theologians, and political thinkers. Indeed, the lengthy article on "metaphysics" in the first edition of the Encyclopedia Britannica (1773) is essentially a summary of Locke.

source IEP