The 'Uniform Penny Post' was a component of the comprehensive reform of the Royal Mail, the UK's official postal service, that took place in the 19th century. The reforms were a government initiative to eradicate the abuse and corruption of the existing service. Under the reforms, the postal service became a government monopoly, but it also became more accessible to the British population at large through setting a charge of one penny for carriage and delivery between any two places in the United Kingdom of Great Britain and Ireland irrespective of distance.

Sir Rowland Hill expounded his concept for the reformed service at a meeting of the commission on February 13, 1837, and published a famous pamphlet Post Office Reform: its Importance and Practicability late that year. In 1838 Hill made a proposal to parliament in which he suggested that "the postage on all letters received in a post-town, and delivered in the same, or any other post-town in the British Isles, shall be at the uniform rate of one penny per half ounce". However, Hill did not include a specific timetable for the introduction of a "penny post" in his proposal, nor did he suggest a plan for its implementation. Nonetheless, Hill's 1838 proposal paved the way for the 1840 Act which introduced the 'Uniform Penny Post'.

More Info: en.wikipedia.org