Rajput was born on 5 January 1981 to Krishan Lal of Jagadhri. He went to SD Public School Jagadhri, Haryana. At the age of 18 he joined the Indian Navy as a sailor and left the same in 2014.
2004
He won 03 Gold and a Silver medal at SAF Games, Islamabad, 2004. At the national Championship Oct 2004 Sanjeev Rajput proves to be a new find by winning back to back finals with two different weapons on the final day of the National Championship at Reoti Ranges, Indore.
2005–2006
He won the 50m Free Rifle three-position and the 10m Air RifleChampion of Champions events. He won a Team Gold in Commonwealth Shooting Championship, Melbourne in March 2005 in 50m Rifle 3 position event. He won the bronze medal in the Men's 50m Rifle Prone at the 2006 Commonwealth Games. He won a bronze medal in the 2006 Asian Games, Doha. He took part in 33rd National Games Guwahati from Services team and won 03 Gold and 01 Silver medal including individual Gold in 50m Rifle Prone and 3position event.
2007–2008
In year 2007, he won the Olympic berth by making a New National Record of 1170/1200 in ISSF World Cup Fort Benning, USA, by breaking his own record of 1165. He won a second place in Asian Shooting Championship, Kuwait in December 2007 in 50m Rifle 3rd position and a team Bronze in the same event and a team silver in 50m Rifle Prone. He contested in the men's 50 m rifle prone event at the 2008 Summer Olympics in Beijing, but failed to reach the finals. He also contests in the men's 50 m rifle three positions.
2009–2010
In July 2009, he won 04 Gold and 02 Silver from the SAG Shooting Championship, Dhaka. and a team Gold of Air rifle from Asian Air Gun Championship, Doha in December 2009. In 2010 he won a double Gold in 50m Rifle 3position event with the New Meet Record in Common Wealth Shooting Championship, Delhi and also a Silver in 10m Air rifle event. He won a silver medal in ISSF World Cup Sydney, 2010 in 10m Air Rifle. He finished 5th in 10m Air Rifle in ISSF World Cup Final in Oct 2010 in Munich, Germany. He also won a team silver in 10m Air rifle event in Asian Games Guangzhou, China. He was also Conferred with Arjuna Award in Aug 2010 and is also adjudged the Services Best Sports Person for the year 2009–2010 and was awarded the Trophy.
2011–present
In 2011, he won gold medal in world cup held in Changwon, Korea. He also made a New National Record in the same event by again breaking his own record 3rd time. By winning this gold he became the third Indian to qualify for the London Olympics. He finished 8th place at the ISSF World Cup finals in Poland in his Pet event. He also won 05 Gold and a Silver medal in the 34th National Games Ranchi, Bihar. At the 2012 Summer Olympics Rajput could not make it to the finals of the men's 50-metre rifle three positions at the Royal Artillery Barracks. At the 2014 Commonwealth Games in Glasgow, Sanjeev won a silver medal in the 50 m Rifle 3 positions event. In 2016 he won his second ISSF world cup medal in 50 metres rifle 3 positions event at Baku, where he ended up with a silver medal. At the Gold Coast CWG 2018, he won the Gold medal in the 50m three positions event. In 2018 Asian Games, he won silver medal in men's 50 metres rifle 3 positions category. At the ISSF World Cup in Rio de Janeiro, Rajput qualified for the final of the 50m three positions event with a score of 1180, going on to win the Silver medal. With the podium finish, he also obtained a quota for the 2020 Tokyo Olympics.
International medals won
South Asian Federation Games 2004, Islamabad 2004 | 3 Gold Medal and 1 Silver Medal
Australia Cup 2006, Melbourne 2006 | Bronze Medal 50M Rifle - Individual