This research has continued to evaluate Saudi Arabia's journals by quality bibliometric indicators and scientific tools and is likely to highlight comparisons between the significance and the rates of indicators. The research has also illustrated the achievements and the information correlated between the selected indicators of well-cited journals and used sophisticated algorithms and reputable databases to evaluate journals' quality rankings. The research aims primarily to review the scientific journal quality indices that are currently used (2015), with emphasis on the generally used indicators, such as the Journal impact factor (JIF), the Eigenfactor Score (ES), the SCImago Journal Rank Indicator (SJR) and the Google H-5 index. JIF and ES were obtained from the Journal Citation Report and the SJR from SCImago Journal and country-ranked websites. Special Saudi Arabia research journals are selected from their category from Web Science. The ten (10) chosen Saudi Arabia research journals were noted, and their related data and information reclaimed from their primary websites in linking associated Journal impact factor, SJR, ES and Google H-5 quality indicators for ranking and refereeing their quality. Correlations between indicators were represented employing Pearson's and Spearman's statistical correlations, calculated using SPSS software. All retrieved journals are indexed in Web of Science (WoS), Scopus, and Google Scholar Metrics. Examined JIFs fluctuated between 3.613 and 0.311; ES ranged between 0.00396 and 0.00052, while JSR extended between 0.552, 0.24, and Google H-5 varied between 29 and 20. A high Pearson (r) statistical correlation between the JIF and SJR indicators (r= 0.607), as well as a rather low statistical relation between JIF and Google H-5 index for the category in which journals were selected (r= 0.522, is apparent from the bivariate correlation between the JIF, ES, SJR, and Google H-5 index indicators for selected journals. This is the lowest correlation of JIF with ES values (r= 0.461). Concerning Spearman's rho statistical correlation, a high correlation was observed between JIF and each of Google H-5 and SJR indicators for Saudi Arabia research journals (coefficient values of 0.821 and 0.782, respectively), while a low correlation was recorded between JIF and ES rankings (coefficient value= 0.556).