The town of Bedford (town) filed a complaint in Superior Court against AFSCME Council 93, Local 1703 (union) seeking a stay,.under authority of G. L. c. 150C, § 2(b),1 *111of the arbitration of certain grievances filed by the union. The town asserted that the union’s five grievances had not been timely submitted and therefore not subject to arbitration.
Initially, a Superior Court judge ordered a stay of arbitration, ruling that, based on the collective bargaining agreement (agreement), it was for the court, and not an arbitrator, to decide whether these particular grievances were arbitrable. At that time, rather than appealing the order to a panel of this court, the union filed a petition under G. L. c. 231, § 118, to a single justice of this court, who denied the union’s petition.2
The case then proceeded, on the basis of the parties’ joint status conference memorandum, before another Superior Court judge, who held an evidentiary hearing on the issue whether the grievances had been timely received by the town.3
The second judge determined that the grievances had not been timely received by the town, so as to render, based on the terms of the agreement, the challenged employee discharges as having been for just cause and not subject to the arbitration process. As a result, judgment entered in favor of the town.4 The union appealed. We determine that, as matter of law, it was error to grant the town’s application for a stay of arbitration.5
From the outset, the underlying case, litigated in Superior Court by a public employer against a union, went forward on the *112wrong footing. The timely filing of a grievance is a “procedural” question. See Massachusetts Highway Dept. v. Perini Corp., 444 Mass. 366, 377 (2005), quoting from Howsam v. Dean Witter Reynolds, Inc., 537 U.S. 79, 85 (2002) (procedural questions include “ ‘time limits, notice, loches, estoppel, and other conditions precedent to an obligation to arbitrate’ [emphasis omitted]”). It is for an arbitrator, not a court, to resolve a procedural question that “grow[s] out of” and “bear[s] on [a] final disposition [of],” a labor dispute encompassed by the parties’ agreement. Massachusetts Highway Dept. v. Perini Corp., supra at 376, quoting from Howsam v. Dean Witter Reynolds, Inc., supra at 84. See John Wiley & Sons v. Livingston, 376 U.S. 543, 557 (1964) (“Once it is determined . . . that the parties are obligated to submit the subject matter of a dispute to arbitration, ‘procedural’ questions which grow out of the dispute and bear on its final disposition should be left to the arbitrator”). Courts must honor this fundamental principle so that the policies behind G. L. c. 150C shall be advanced.
Here, the issue whether the grievances were timely received by the town is a procedural issue that the parties’ agreement did not expressly exclude an arbitrator from deciding. See Massachusetts Highway Dept. v. Perini Corp., supra at 376 n.11 (“Only those contracts with arbitration clauses that expressly preclude arbitrators from deciding . . . procedural disputes will support judicial intervention”). In addition, this procedural question grows out of and bears on the final disposition of the parties’ labor dispute. Error was committed in not denying the stay of arbitration and not ordering the parties to proceed to arbitration. See School Comm. of Agawam v. Agawam Educ. Assn., 371 Mass. 845, 847 n.3 (1977).
Accordingly, we vacate the corrected judgment and remand the case to the Superior Court for entry of an order denying the application for stay of arbitration and directing the parties to proceed to arbitration.
So ordered.