With only 15 seats up for grabs for the 120-man field, Jeev needed something extraordinary to gatecrash into the elite bracket but his rounds of 71 and 72 left him with a 36-hole total of one-under 143 which was simply not enough.
Indian-born Swede Daniel Chopra also failed to qualify, having totalled 139 after rounds of 72 and 67.
In his opening round at the Lakes Golf & Country Club, Jeev sunk five birdies as against four bogeys to return a sub-par card.
His second round at the Brookside Golf & Country Club, however, saw him finishing even-par after a wobbly front nine in which the 10th tee starter dropped three bogeys.
Those who made the cut from the sectional qualification at the Columbus District Golf Association are Eric Axley (127), Terry Pilkadaris (134), Stuart Appleby (134), Brendon De Jonge Matthews (135), Alex Cejka (135), Bo Van Pelt Tulsa (135), Hugo Leon Tequesta (135), Ben Curtis Stow (135), Thomas Lehman Scottsdale (135), Aaron Baddeley (136), Alex Martin Liberty (137), Davis Love III (137), Harrison Frazar (137), John Mallinger (137) and Derek Lamely (137).
Jeev made his US Open debut in 2002, finishing tied 62nd and made three other appearances in 2006, 2007 and 2009 in the second of golf's four majors.
A total of 60 berths were on offer in 13 sectional qualifying tournaments for this year's US Open to be held at Pebble Beach from June 17-20.
Jeev plays in the St Jude Classic this week at TPC Southwind in Memphis, Tennessee.