diff --git a/DESCRIPTION b/DESCRIPTION
index b15bdafd1..f1e75b4df 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -1,7 +1,7 @@
 Type: Package
 Package: performance
 Title: Assessment of Regression Models Performance
-Version: 0.12.0.3
+Version: 0.12.0.4
 Authors@R: 
     c(person(given = "Daniel",
              family = "Lüdecke",
diff --git a/NEWS.md b/NEWS.md
index 8aecc62b2..d032d4e00 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -11,6 +11,9 @@
   approximation method for the distribution-specific (residual) variance. See
   Nakagawa et al. 2017 for details.
 
+* `icc()` and `r2_nakagawa()` get a `model_component` argument indicating the 
+  component for zero-inflation or hurdle models.
+
 # performance 0.12.0
 
 ## Breaking
diff --git a/R/icc.R b/R/icc.R
index bb5d228a6..586961c8c 100644
--- a/R/icc.R
+++ b/R/icc.R
@@ -178,6 +178,7 @@ icc <- function(model,
                 ci_method = NULL,
                 null_model = NULL,
                 approximation = "lognormal",
+                model_component = NULL,
                 verbose = TRUE,
                 ...) {
   # special handling for smicd::semLme()
@@ -210,7 +211,8 @@ icc <- function(model,
     model,
     tolerance = tolerance,
     null_model = null_model,
-    approximation = approximation
+    approximation = approximation,
+    model_component = model_component
   )
 
   # return if ICC couldn't be computed
@@ -545,6 +547,7 @@ print.icc_decomposed <- function(x, digits = 2, ...) {
                                  name_fun = "icc()",
                                  name_full = "ICC",
                                  null_model = NULL,
+                                 model_component = NULL,
                                  approximation = "lognormal",
                                  verbose = TRUE) {
   vars <- tryCatch(
@@ -554,6 +557,7 @@ print.icc_decomposed <- function(x, digits = 2, ...) {
       tolerance = tolerance,
       null_model = null_model,
       approximation = approximation,
+      model_component = model_component,
       verbose = verbose
     ),
     error = function(e) {
diff --git a/R/r2_nakagawa.R b/R/r2_nakagawa.R
index 337d64142..8cae5f38a 100644
--- a/R/r2_nakagawa.R
+++ b/R/r2_nakagawa.R
@@ -85,6 +85,7 @@ r2_nakagawa <- function(model,
                         ci_method = NULL,
                         null_model = NULL,
                         approximation = "lognormal",
+                        model_component = NULL,
                         verbose = TRUE,
                         ...) {
   # calculate random effect variances
@@ -95,7 +96,8 @@ r2_nakagawa <- function(model,
     null_model = null_model,
     approximation = approximation,
     name_fun = "r2()",
-    name_full = "r-squared"
+    name_full = "r-squared",
+    model_component = model_component
   )
 
   # return if R2 couldn't be computed
diff --git a/man/icc.Rd b/man/icc.Rd
index 23254874f..9fb71e33d 100644
--- a/man/icc.Rd
+++ b/man/icc.Rd
@@ -14,6 +14,7 @@ icc(
   ci_method = NULL,
   null_model = NULL,
   approximation = "lognormal",
+  model_component = NULL,
   verbose = TRUE,
   ...
 )
@@ -63,6 +64,11 @@ applies to non-Gaussian models. Can be \code{"lognormal"} (default), \code{"delt
 specific variance, however, it can also be \code{"observation_level"}. See
 \emph{Nakagawa et al. 2017}, in particular supplement 2, for details.}
 
+\item{model_component}{For models that can have a zero-inflation component,
+specify for which component variances should be returned. If \code{NULL} or \code{"full"}
+(the default), both the conditional and the zero-inflation component are taken
+into account. If \code{"conditional"}, only the conditional component is considered.}
+
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed down to \code{brms::posterior_predict()}.}
diff --git a/man/r2_nakagawa.Rd b/man/r2_nakagawa.Rd
index 34ec42a1b..6b1963285 100644
--- a/man/r2_nakagawa.Rd
+++ b/man/r2_nakagawa.Rd
@@ -13,6 +13,7 @@ r2_nakagawa(
   ci_method = NULL,
   null_model = NULL,
   approximation = "lognormal",
+  model_component = NULL,
   verbose = TRUE,
   ...
 )
@@ -62,6 +63,11 @@ applies to non-Gaussian models. Can be \code{"lognormal"} (default), \code{"delt
 specific variance, however, it can also be \code{"observation_level"}. See
 \emph{Nakagawa et al. 2017}, in particular supplement 2, for details.}
 
+\item{model_component}{For models that can have a zero-inflation component,
+specify for which component variances should be returned. If \code{NULL} or \code{"full"}
+(the default), both the conditional and the zero-inflation component are taken
+into account. If \code{"conditional"}, only the conditional component is considered.}
+
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed down to \code{brms::posterior_predict()}.}