Straight from an info page, but translated into ordinary speech:
BNP = B-type natriuretic peptide
NT-proBNP = N-terminal (NT)-pro hormone BNP
BNP is a hormone that is released in response to changes of pressure inside the heart, which can be related to heart failure and other cardiac problems. ProBNP is an inactive precursor of that hormone (your body converts it to BNP as needed.) Both will go up if heart failure develops or gets worse, and the levels go down if the heart failure is stabilized. BNP and NT-proBNP levels are higher in patients with heart failure than people who have normal heart function.
These results help to determine if you have heart failure, whether any fatigue or shortness of breath is due to heart failure or to something else, and if the heart failure has progressed toward total heart failure.
Translated from another source :
BNP is one of a family of protein hormones which help regulate the circulation. They cause blood vessels to widen, the kidneys to get rid of more salt and water, and reduce the production of hormones that narrow blood vessels, cause the heart rate to increase and affect fluid retention, like adrenaline, angiotensin and aldosterone.
Also, verbatim:
"When the left ventricle of the heart is having difficulty pumping sufficient amounts of blood to the body, the concentrations of NTproBNP produced can increase markedly. This may occur with many diseases that affect the heart and circulatory system. The increase in circulating NT-proBNP will reflect this diminished capacity to deliver oxygenated blood to the body."