First, use helm to install the ingress controller:

$ helm install stable/nginx-ingress --name nginx-ingress --set controller.publishService.enabled=true
NAME:   nginx-ingress
LAST DEPLOYED: ...
NAMESPACE: default
STATUS: DEPLOYED

RESOURCES:
==> v1/ConfigMap
NAME                      DATA  AGE
nginx-ingress-controller  1     0s

==> v1/Pod(related)
NAME                                            READY  STATUS             RESTARTS  AGE
nginx-ingress-controller-7658988787-npv28       0/1    ContainerCreating  0         0s
nginx-ingress-default-backend-7f5d59d759-26xq2  0/1    ContainerCreating  0         0s

==> v1/Service
NAME                           TYPE          CLUSTER-IP     EXTERNAL-IP  PORT(S)                     AGE
nginx-ingress-controller       LoadBalancer  10.245.9.107   <pending>    80:31305/TCP,443:30519/TCP  0s
nginx-ingress-default-backend  ClusterIP     10.245.221.49  <none>       80/TCP                      0s

==> v1/ServiceAccount
NAME           SECRETS  AGE
nginx-ingress  1        0s

==> v1beta1/ClusterRole
NAME           AGE
nginx-ingress  0s

==> v1beta1/ClusterRoleBinding
NAME           AGE
nginx-ingress  0s

==> v1beta1/Deployment
NAME                           READY  UP-TO-DATE  AVAILABLE  AGE
nginx-ingress-controller       0/1    1           0          0s
nginx-ingress-default-backend  0/1    1           0          0s

==> v1beta1/Role
NAME           AGE
nginx-ingress  0s

==> v1beta1/RoleBinding
NAME           AGE
nginx-ingress  0s

NOTES:
...

Then wait for it to become available:

$ kubectl get services -o wide -w nginx-ingress-controller

Then you need to add the jetstack helm repo:

$ helm repo add jetstack https://charts.jetstack.io
"jetstack" has been added to your repositories

Then, you can install cert-manager:

$ helm install --name cert-manager --namespace cert-manager jetstack/cert-manager --set installCRDs=true
NAME:   cert-manager
LAST DEPLOYED: ...
NAMESPACE: cert-manager
STATUS: DEPLOYED

RESOURCES:
==> v1/ClusterRole
NAME                                    AGE
cert-manager-edit                       3s
cert-manager-view                       3s
cert-manager-webhook:webhook-requester  3s

==> v1/Pod(related)
NAME                                     READY  STATUS             RESTARTS  AGE
cert-manager-5d669ffbd8-rb6tr            0/1    ContainerCreating  0         2s
cert-manager-cainjector-79b7fc64f-gqbtz  0/1    ContainerCreating  0         2s
cert-manager-webhook-6484955794-v56lx    0/1    ContainerCreating  0         2s

...

NOTES:
cert-manager has been deployed successfully!

In order to begin issuing certificates, you will need to set up a ClusterIssuer
or Issuer resource (for example, by creating a 'letsencrypt-staging' issuer).

More information on the different types of issuers and how to configure them
can be found in our documentation:

https://docs.cert-manager.io/en/latest/reference/issuers.html

For information on how to configure cert-manager to automatically provision
Certificates for Ingress resources, take a look at the `ingress-shim`
documentation:

https://docs.cert-manager.io/en/latest/reference/ingress-shim.html

Lastly, set up an issuer which takes care of managing the certificates:

production-issuer.yaml

apiVersion: cert-manager.io/v1alpha2
kind: ClusterIssuer
metadata:
  name: letsencrypt-prod
spec:
  acme:
    server: https://acme-v02.api.letsencrypt.org/directory
    email: pieter@yellowduck.be
    privateKeySecretRef:
      name: letsencrypt-production
    solvers:
    - http01:
        ingress:
          class: nginx

Deploy it:

$ kubectl apply -f production-issuer.yaml
clusterissuer.certmanager.k8s.io/letsencrypt-production created

Before we can issue the certificates, we need to create A records on the DNS server pointing to the load balancer. First, get the external IP address of the load balancer:

$ kubectl get service nginx-ingress-controller
NAME                       TYPE           CLUSTER-IP    EXTERNAL-IP      PORT(S)                      AGE
nginx-ingress-controller   LoadBalancer   10.0.254.55   52.136.238.205   80:30753/TCP,443:32721/TCP   17m

The external IP address is 52.136.238.205 in this case.

On the DNS server, add the following records:

mywebsite.webhost.com A 52.136.238.205

Once you did this, create the ingress defintion:

ingress.yaml

apiVersion: extensions/v1beta1
kind: Ingress
metadata:
  name: ingress
  annotations:
    nginx.ingress.kubernetes.io/proxy-read-timeout: "3600"
    nginx.ingress.kubernetes.io/proxy-send-timeout: "3600"
    kubernetes.io/ingress.class: nginx
    certmanager.k8s.io/cluster-issuer: letsencrypt-production
spec:
  tls:
  - hosts:
    - mywebsite.webhost.com
    secretName: letsencrypt-prod
  rules:
  - host: mywebsite.webhost.com
    http:
      paths:
      - backend:
          serviceName: <my-service>
          servicePort: 80

Apply this as well and you're done.

$ kubectl apply -f ingress.yaml

If you now browse to https://mywebsite.webhost.com, the correct content should show up and you should see that it's using a Let's Encrypt certificate.