@POST
@Path("/video/add")
@Consumes(MediaType.APPLICATION_JSON)
@Produces(MediaType.APPLICATION_JSON)
public Response addVideoData(
    @Context HttpServletRequest request,
    AttachmentDTO attachmentDTO) {
        ...
}

@Test
public void videoAdd_requestObjectIsNull_ResponseStatusIsOK() throws Exception {
    // arrange
    Builder builder = target("/target/video/add").request();
    // action
    final Response response = builder.post(Entity.entity(attachemntDTO, MediaType.APPLICATION_JSON));
    // assertion
    ...
}

public class HttpServletRequestFactory implements Factory<HttpServlet> {

    @Override
    public HttpServletRequest provide() {
       return RequestHelper.getMockServletRequest();
    }

    @Override
    public void dispose(HttpSession t) {
    }
}

@Override
public Application configure() {
    ResourceConfig config = new ResourceConfig(...);
    config.register(new AbstractBinder(){
        @Override
        public void configure() {
            bindFactory(HttpServletRequestFactory.class).to(HttpServletRequest.class);
        }
    });
}

<dependency>
    <groupId>org.glassfish.jersey.test-framework.providers</groupId>
    <artifactId>jersey-test-framework-provider-grizzly2</artifactId>
    <version>${jersey.version}</version>
</dependency>

import javax.servlet.http.HttpServletRequest;
import javax.ws.rs.GET;
import javax.ws.rs.Path;
import javax.ws.rs.core.Application;
import javax.ws.rs.core.Context;
import javax.ws.rs.core.Response;
import org.glassfish.hk2.api.Factory;
import org.glassfish.hk2.utilities.binding.AbstractBinder;
import org.glassfish.jersey.server.ResourceConfig;
import org.glassfish.jersey.test.JerseyTest;
import org.junit.Assert;
import org.junit.Test;

public class MockHttpSevletRequestTest extends JerseyTest {

    @Path("http")
    public static class HttpResource {
        @GET
        public Response getResponse(@Context HttpServletRequest request) {
            return Response.ok(request.getMethod()).build();
        }
    }

    @Override
    public Application configure() {
        ResourceConfig config = new ResourceConfig(HttpResource.class);
        config.register(new AbstractBinder() {
            @Override
            public void configure() {
                bindFactory(HttpServletRequestFactory.class)
                        .to(HttpServletRequest.class);
            }
        });
        return config;
    }

    public static class HttpServletRequestFactory implements Factory<HttpServletRequest> {

        @Override
        public HttpServletRequest provide() {
            return new MockHttpServletRequest();
        }

        @Override
        public void dispose(HttpServletRequest t) {
        }
    }

    @Test
    public void test() {
        String response = target("http").request().get(String.class);
        System.out.println(response);
        Assert.assertEquals("POST", response);
    }
}

public class MockHttpServletRequest implements HttpServletRequest {

    @Override
    public String getMethod() {
        return "POST";
    }
    ...
}