I had the same problem as you and i received a great answer here:
Trying to make a POST request with RestKit and map the response to Core Data
Basically,
This is what you need:
NSDictionary *dictionary = @{ @"firstParam": @(12345), @"secondParam": @"whatever"};
NSMutableURLRequest *request = [objectManager requestWithObject:nil method:RKRequestMethodPOST path:@"/whatever" parameters:parameters];
RKObjectRequestOperation *operation = [objectManager objectRequestOperationWithRequest:request ^(RKObjectRequestOperation *operation, RKMappingResult *result) {
NSLog(@"Loading mapping result: %@", result);
} failure:nil];
There is an example here in README section Managed Object Request that will help you: