The invention discloses an equipment area 
provable security verification method with resistance to collusion 
attack and mainly solves the problem of absence of a security 
verification method with areas as credential information in existing position-based 
cryptography technologies. The implementation scheme of the method comprises steps as follows: a 
provable security verification model is built, and a prover is located in a target area; verifiers select information sources and 
random series and share information with one another, and the verifiers replay information in a 
broadcasting manner; a metric value is generated by the prover, and a verification value is calculated, and position information of the prover is broadcasted; the verifiers verify 
correctness of the verification value, whether the position information of the prover is accepted is judged, if the verification value passes the verification, the position information of the prover is broadcasted, otherwise, the verification value does not pass the verification, that is, the position claimed by the prover is not in the area, and the verification is finished. According to the method, any prover in the target area can effectively 
resist the collusion 
attack of multiple opponents after verification, and the security verification of the position of the prover is realized. The method can be used for verifying whether the equipment, namely, the prover, is located in the target area.