According to the United States Census Bureau, the borough has a total area of 2.3 square miles (6.0 km²), of which, 2.3 square miles (5.9 km²) of it is land and 0.04 square miles (0.1 km²) of it (1.29%) is water.
Pitman borders Mantua Township, Washington Township, and Glassboro.
There were 3,473 households out of which 34.0% had children under the age of 18 living with them, 55.5% were married couples living together, 10.9% had a female householder with no husband present, and 30.0% were non-families. 26.0% of all households were made up of individuals and 11.1% had someone living alone who was 65 years of age or older. The average household size was 2.60 and the average family size was 3.15.
In the borough the population was spread out with 25.2% under the age of 18, 7.9% from 18 to 24, 28.3% from 25 to 44, 23.5% from 45 to 64, and 15.0% who were 65 years of age or older. The median age was 38 years. For every 100 females there were 86.9 males. For every 100 females age 18 and over, there were 83.3 males.
The median income for a household in the borough was $49,743, and the median income for a family was $59,419. Males had a median income of $40,894 versus $30,889 for females. The per capita income for the borough was $22,133. About 2.8% of families and 5.6% of the population were below the poverty line, including 5.0% of those under age 18 and 8.9% of those age 65 or over.
In 1871, land was chosen in both Glassboro Township and Mantua Township to be set aside for a Methodist summer camp. The New Jersey Conference Camp Meeting Association was officially chartered and given authority over the land grant in 1872, and began planning the campground and organizing meetings. The land had an auditorium located on a central meeting ground, and twelve roads originated from the central area as spokes on a wheel, each representing one of the disciples of Jesus. This area became known as the Pitman Grove, and while worshipers' tents originally lined each of the twelve roads, cottages slowly replaced the tents and formed the foundation of the town of Pitman. By the 1880s, the number of cottages had climbed to 400 and residents had begun staying year-round, both of which led to the establishment of the first public school in 1884. In 1904, residents of Pitman Grove voted 122 to 35 for incorporation as an autonomous borough, and on May 24, 1905, Governor of New Jersey Edward C. Stokes signed a law granting the incorporation.
Pitman Grove was added to the National Register of Historic Places in 1977.
The Mayor of Pitman Borough is Michael Batten (R, term ends December 31, 2011. Members of the Pitman Borough Council are Debra Higbee (D, 2008), Russell Johnson (R, 2010), Michael Razze (R, 2010), Jeffrey Sanders (R, 2008), Gene Shoemaker (D, 2009) and Fred Swartz (D, 2009).