Death Penalty Integrity Act of 2002

Death Penalty Integrity Act of 2002 - Amends the Federal criminal code to authorize an individual who, after trial, was convicted of a Federal crime and is serving a term of imprisonment as a result, to file a motion for the performance of forensic DNA testing on evidence that was secured in relation to the investigation or prosecution but not subject to DNA testing because the technology was not available at the time of trial.

Prohibits the Government from destroying certain biological evidence over a 60 month period.

Declares that no statute of limitations shall extend to any person identified by means of a DNA database prior to identification.

Directs the Attorney General to establish a system for reporting and tracking motions for DNA testing.

Authorizes appropriations to defray State costs associated with post-conviction DNA testing.

Amends: (1) the DNA Analysis Backlog Elimination Act of 2000 regarding the definition of "qualifying Federal offense"; (2) the Violent Crime Control and Law Enforcement Act of 1994 to include juveniles in CODIS (the Combined DNA Indexing System); (3) the State Justice Institute Act of 1984 to authorize grant awards to States for training of counsel representing defendants charged with capital offenses in State and local courts; and (4) the code and the Controlled Substances Act to prohibit an attorney who has been disciplined relating to a criminal case, or where that attorney has been found to have rendered ineffective assistance of counsel in another criminal case, from being eligible to represent an accused.