I have the problem with array json schema validation in postman.

var schema = {
    "type": "array",
    "items": [{
         "id": {
            "type":"long"
             },
         "name": {
             "type":"string"
             },
         "email": {
             "type":"string"
            }
    }]
};


pm.test('Response schema type nodes verification', function() {
  pm.expect(tv4.validate(pm.response.json(), schema)).to.be.true;
});

And the response body is:

[
    {
        "id": 1,
        "name": "test1",
        "email": "a@a.com"
    },
    {
        "id": 2,
        "name": "test2",
        "email": "a@a.com"
    },
 .
 .
 .
]

I have always passed result. Also I tried with removed [].

Where is the problem?

The schema used in question is incorrect, you need to define the type of item in array as object. The correct JSON schema would look like:

var schema = {
    "type": "array",
    "items": [{
        type: "object",
        properties:{
         "id": {
            "type":"integer"
             },
         "name": {
             "type":"string"
             },
         "email": {
             "type":"string"
            }
        }
    }]
};


pm.test('Response schema type nodes verification', function() {
  pm.expect(tv4.validate(pm.response.json(), schema)).to.be.true;
});

Please note there are only 2 numeric types in JSON Schema: integer and number. There is no type as long.