diff --git a/kyaml/kio/filters/container.go b/kyaml/kio/filters/container.go
index c3a60cf98..aa929a644 100644
--- a/kyaml/kio/filters/container.go
+++ b/kyaml/kio/filters/container.go
@@ -25,7 +25,6 @@ import (
 // The full set of environment variables from the parent process
 // are passed to the container.
 type ContainerFilter struct {
-	mountPath string
 
 	// Image is the container image to use to create a container.
 	Image string `yaml:"image,omitempty"`
@@ -33,6 +32,9 @@ type ContainerFilter struct {
 	// Network is the container network to use.
 	Network string `yaml:"network,omitempty"`
 
+	// StorageMounts is a list of storage options that the container will have mounted.
+	StorageMounts []StorageMount
+
 	// Config is the API configuration for the container and passed through the
 	// API_CONFIG env var to the container.
 	// Typically a Kubernetes style Resource Config.
@@ -44,8 +46,23 @@ type ContainerFilter struct {
 	checkInput func(string)
 }
 
-func (c *ContainerFilter) SetMountPath(path string) {
-	c.mountPath = path
+// StorageMount represents a container's mounted storage option(s)
+type StorageMount struct {
+	// Type of mount e.g. bind mount, local volume, etc.
+	MountType string
+
+	// Source for the storage to be mounted.
+	// For named volumes, this is the name of the volume.
+	// For anonymous volumes, this field is omitted (empty string).
+	// For bind mounts, this is the path to the file or directory on the host.
+	Src string
+
+	// The path where the file or directory is mounted in the container.
+	DstPath string
+}
+
+func (s *StorageMount) String() string {
+	return fmt.Sprintf("type=%s,src=%s,dst=%s:ro", s.MountType, s.Src, s.DstPath)
 }
 
 // GrepFilter implements kio.GrepFilter
@@ -105,9 +122,10 @@ func (c *ContainerFilter) getArgs() []string {
 		// don't make fs readonly because things like heredoc rely on writing tmp files
 		"--security-opt=no-new-privileges", // don't allow the user to escalate privileges
 	}
-	// mount the directory containing the function as read-only
-	if c.mountPath != "" {
-		args = append(args, "-v", fmt.Sprintf("%s:/local/:ro", c.mountPath))
+
+	// TODO(joncwong): Allow StorageMount fields to have default values.
+	for _, storageMount := range c.StorageMounts {
+		args = append(args, "--mount", storageMount.String())
 	}
 
 	// export the local environment vars to the container
diff --git a/kyaml/kio/filters/container_test.go b/kyaml/kio/filters/container_test.go
index 76410788a..336ba0e8e 100644
--- a/kyaml/kio/filters/container_test.go
+++ b/kyaml/kio/filters/container_test.go
@@ -7,7 +7,6 @@ import (
 	"bytes"
 	"fmt"
 	"os"
-	"path/filepath"
 	"strings"
 	"testing"
 
@@ -62,7 +61,7 @@ metadata:
 	assert.True(t, foundKyaml)
 }
 
-func TestFilter_commandMountPath(t *testing.T) {
+func TestFilter_command_StorageMount(t *testing.T) {
 	cfg, err := yaml.Parse(`apiversion: apps/v1
 kind: Deployment
 metadata:
@@ -71,12 +70,14 @@ metadata:
 	if !assert.NoError(t, err) {
 		return
 	}
+	bindMount := StorageMount{"bind", "/mount/path", "/local/"}
+	localVol := StorageMount{"volume", "myvol", "/local/"}
+	tmpfs := StorageMount{"tmpfs", "", "/local/"}
 	instance := &ContainerFilter{
-		Image:     "example.com:version",
-		Config:    cfg,
-		mountPath: filepath.Join("mount", "path"),
+		Image:         "example.com:version",
+		Config:        cfg,
+		StorageMounts: []StorageMount{bindMount, localVol, tmpfs},
 	}
-	os.Setenv("KYAML_TEST", "FOO")
 	cmd, err := instance.getCommand()
 	if !assert.NoError(t, err) {
 		return
@@ -89,7 +90,9 @@ metadata:
 		"--network", "none",
 		"--user", "nobody",
 		"--security-opt=no-new-privileges",
-		"-v", fmt.Sprintf("%s:/local/:ro", filepath.Join("mount", "path")),
+		"--mount", fmt.Sprintf("type=%s,src=%s,dst=%s:ro", "bind", "/mount/path", "/local/"),
+		"--mount", fmt.Sprintf("type=%s,src=%s,dst=%s:ro", "volume", "myvol", "/local/"),
+		"--mount", fmt.Sprintf("type=%s,src=%s,dst=%s:ro", "tmpfs", "", "/local/"),
 	}
 	for _, e := range os.Environ() {
 		// the process env
diff --git a/kyaml/runfn/runfn.go b/kyaml/runfn/runfn.go
index 1a587485d..366aaa519 100644
--- a/kyaml/runfn/runfn.go
+++ b/kyaml/runfn/runfn.go
@@ -16,6 +16,8 @@ import (
 // RunFns runs the set of configuration functions in a local directory against
 // the Resources in that directory
 type RunFns struct {
+	StorageMounts []filters.StorageMount
+
 	// Path is the path to the directory containing functions
 	Path string
 
@@ -90,8 +92,9 @@ func (r *RunFns) init() {
 	// if containerFilterProvider hasn't been set, use the default
 	if r.containerFilterProvider == nil {
 		r.containerFilterProvider = func(image, path string, api *yaml.RNode) kio.Filter {
-			cf := &filters.ContainerFilter{Image: image, Config: api}
-			cf.SetMountPath(filepath.Join(r.Path, path))
+			defaultMount := filters.StorageMount{}
+			r.StorageMounts = append(r.StorageMounts, defaultMount)
+			cf := &filters.ContainerFilter{Image: image, Config: api, StorageMounts: r.StorageMounts}
 			return cf
 		}
 	}
diff --git a/kyaml/runfn/runfn_test.go b/kyaml/runfn/runfn_test.go
index ef55a401d..5ca3ce76a 100644
--- a/kyaml/runfn/runfn_test.go
+++ b/kyaml/runfn/runfn_test.go
@@ -28,7 +28,10 @@ kind:
 		return
 	}
 	filter := instance.containerFilterProvider("example.com:version", "", api)
-	assert.Equal(t, &filters.ContainerFilter{Image: "example.com:version", Config: api}, filter)
+	defaultMount:= filters.StorageMount{}
+	mounts := []filters.StorageMount{}
+	mounts = append(mounts, defaultMount)
+	assert.Equal(t, &filters.ContainerFilter{Image: "example.com:version", Config: api, StorageMounts: mounts}, filter)
 }
 
 func TestCmd_Execute(t *testing.T) {