Parallel-imaging and compressed-sensing based approaches are playing crucial role in accelerating MRI data acquisition. Objective of the study was to accelerate the data acquisition of T1, T2 and PD-weighted TSE images and to evaluate the accuracy of T1 and T2 mapping in the human brain. Data was acquired using SENSE parallel-imaging and Compressed-SENSE technique for different factors as well as without any acceleration. T1 and T2 values obtained using data with SENSE (upto factor of 3) and CSENSE (upto factor of 6) were comparable to those acquired without any acceleration. Errors in T1 and T2 increased with increase in acceleration factor.