|| || — || April 18, 1996 || Kitt Peak || Spacewatch || — || align=right | 3.9 km || |-id=379 bgcolor=#E9E9E9 | 29379 || || — || April 17, 1996 || La Silla || E. W. Elst || RAF || align=right | 3.7 km || |-id=380 bgcolor=#E9E9E9 | 29380 || || — || April 17, 1996 || La Silla || E. W. Elst || — || align=right | 3.1 km || |-id=381 bgcolor=#fefefe | 29381 || || — || April 18, 1996 || La Silla || E. W. Elst || — || align=right | 3.2 km || |-id=382 bgcolor=#E9E9E9 | 29382 || || — || April 18, 1996 || La Silla || E. W. Elst || — || align=right | 3.3 km || |-id=383 bgcolor=#E9E9E9 | 29383 || || — || April 20, 1996 || La Silla || E. W. Elst || — || align=right | 2.9 km || |-id=384 bgcolor=#fefefe | 29384 || || — || April 20, 1996 || La Silla || E. W. Elst || — || align=right | 2.7 km || |-id=385 bgcolor=#E9E9E9 | 29385 || 1996 JT || — || May 13, 1996 || Haleakala || NEAT || — || align=right | 2.8 km || |-id=386 bgcolor=#fefefe | 29386 || || — || May 10, 1996 || Kitt Peak || Spacewatch || V || align=right | 3.5 km || |-id=387 bgcolor=#fefefe | 29387 || || — || May 11, 1996 || Kitt Peak || Spacewatch || NYS || align=right | 2.8 km || |-id=388 bgcolor=#fefefe | 29388 || || — || May 11, 1996 || Kitt Peak || Spacewatch || — || align=right | 3.2 km || |-id=389 bgcolor=#E9E9E9 | 29389 || 1996 LZ || — || June 13, 1996 || Haleakala || NEAT || — || align=right | 3.2 km || |-id=390 bgcolor=#fefefe | 29390 || || — || June 11, 1996 || Kitt Peak || Spacewatch || V || align=right | 2.8 km || |-id=391 bgcolor=#E9E9E9 | 29391 Knight || 1996 MB || || June 17, 1996 || Needville || Needville Obs. || MIS || align=right | 6.9 km || |-id=392 bgcolor=#E9E9E9 | 29392 || || — || June 16, 1996 || Kitt Peak || Spacewatch || EUN || align=right | 4.1 km || |-id=393 bgcolor=#E9E9E9 | 29393 || || — || July 14, 1996 || La Silla || E. W. Elst || MAR || align=right | 4.7 km || |-id=394 bgcolor=#E9E9E9