Embedded MongoDB when running integration tests

I have found Embedded MongoDB library which looks quite promising and does what you have asked for.

Currently supports MongoDB versions: 1.6.5 to 3.1.6, provided the binaries are still available from the configured mirror.

Here is short example of use, which I have just tried and it works perfectly:

public class EmbeddedMongoTest {
    private static final String DATABASE_NAME = "embedded";

    private MongodExecutable mongodExe;
    private MongodProcess mongod;
    private Mongo mongo;

    @Before
    public void beforeEach() throws Exception {
        MongoDBRuntime runtime = MongoDBRuntime.getDefaultInstance();
        mongodExe = runtime.prepare(new MongodConfig(Version.V2_3_0, 12345, Network.localhostIsIPv6()));
        mongod = mongodExe.start();
        mongo = new Mongo("localhost", 12345);
    }

    @After
    public void afterEach() throws Exception {
        if (this.mongod != null) {
            this.mongod.stop();
            this.mongodExe.stop();
        }
    }

    @Test
    public void shouldCreateNewObjectInEmbeddedMongoDb() {
        // given
        DB db = mongo.getDB(DATABASE_NAME);
        DBCollection col = db.createCollection("testCollection", new BasicDBObject());

        // when
        col.save(new BasicDBObject("testDoc", new Date()));

        // then
        assertThat(col.getCount(), Matchers.is(1L));
    }
}

Here's an updated (for 2022) version of the accepted answer from @rozky (a lot has been changed in both the Mongo and Embedded MongoDB libraries).

package com.example.mongo;

import com.mongodb.BasicDBObject;
import com.mongodb.MongoClient;
import com.mongodb.client.MongoCollection;
import com.mongodb.client.MongoDatabase;
import de.flapdoodle.embed.mongo.MongodExecutable;
import de.flapdoodle.embed.mongo.MongodProcess;
import de.flapdoodle.embed.mongo.MongodStarter;
import de.flapdoodle.embed.mongo.config.MongodConfig;
import de.flapdoodle.embed.mongo.config.Net;
import de.flapdoodle.embed.mongo.distribution.Version;
import de.flapdoodle.embed.process.runtime.Network;
import java.util.Date;
import org.junit.After;
import static org.junit.Assert.*;
import org.junit.Before;
import org.junit.Test;

public class EmbeddedMongoTest {

    private static final String DATABASE_NAME = "embedded";

    private MongodExecutable mongodExe;
    private MongodProcess mongod;
    private MongoClient mongo;

    @Before
    public void beforeEach() throws Exception {
        MongodStarter starter = MongodStarter.getDefaultInstance();
        String bindIp = "localhost";
        int port = 12345;
        MongodConfig mongodConfig = MongodConfig.builder()
            .version(Version.Main.PRODUCTION)
            .net(new Net(bindIp, port, Network.localhostIsIPv6()))
            .build();
        this.mongodExe = starter.prepare(mongodConfig);
        this.mongod = mongodExe.start();
        this.mongo = new MongoClient(bindIp, port);
    }

    @After
    public void afterEach() throws Exception {
        if (this.mongod != null) {
            this.mongod.stop();
            this.mongodExe.stop();
        }
    }

    @Test
    public void shouldCreateNewObjectInEmbeddedMongoDb() {
        // given
        MongoDatabase db = mongo.getDatabase(DATABASE_NAME);
        db.createCollection("testCollection");
        MongoCollection<BasicDBObject> col = db.getCollection("testCollection", BasicDBObject.class);

        // when
        col.insertOne(new BasicDBObject("testDoc", new Date()));

        // then
        assertEquals(1L, col.countDocuments());
    }

}