The human genome project is a worldwide endeavor aimed to sequence the entire
bp-long human DNA. The project, initiated by the United
States in the late 80' was launched in 1990 and was intended to be completed
in 15 years with a 3 billion dollar budget. The human genome project
was entitled 'biology's space conquest', although its
effects and benefits to biological and medical science will probably be much
more significant and far reaching. More than 
of the human
genome was sequenced so far within this project, and around 
of it is defined finished, namely assembled into long pieces and
reviewed.
In mid 1998, a company called Celera was initiated, announcing on its intentions to sequence the whole human genome in parallel to the public human genome project, and in shorter time. Today they claim to have the whole genome sequenced, except for holes which do not contain genes. Another company called Incyte claims to have a database of all the human genes, without the nongenic DNA.
Apart from the human genome there are some fully sequenced genomes available at public domains. Among these are the genomes of the nematode worm Caenorhabditis elegans, and the fruit fly Drosophila melanogaster, both around 108bp.
The human genome is not the only large genome which is currently being sequenced: other genomes such as the mouse and the rice genomes are also being sequenced by Celera and by public initiatives.