A novel method based on time-lag aware multi-modal variational autoencoder for prediction of important scenes (Tl-MVAE-PIS) using baseball videos and tweets posted on Twitter is presented in this paper. This paper has the following two technical contributions. First, to effectively use heterogeneous data for the prediction of important scenes, we transform textual, visual and audio features obtained from tweets and videos to the latent features. Then Tl-MVAE-PIS can flexibly express the relationships between them in the constructed latent space. Second, since there are time-lags between tweets and the corresponding multiple previous events, Tl-MVAE-PIS considers such time-lags in their relationship estimation for successfully deriving their latent features. Therefore, these two contributions enable accurate important scene prediction. Results of experiments using actual baseball videos and their corresponding tweets show the effectiveness of Tl-MVAE-PIS.